<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2021000600005</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.67.060701</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Application of the modified simple equation method for solving two nonlinear time-fractional long water wave equations]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bakicierler]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Alfaqeih]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Misirli]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Ege University Faculty of Science ]]></institution>
<addr-line><![CDATA[Izmir ]]></addr-line>
<country>Turkey</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2021</year>
</pub-date>
<volume>67</volume>
<numero>6</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2021000600005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2021000600005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2021000600005&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Recently, nonlinear fractional partial differential equations have been used to model many phenomena in applied sciences and engineering. In this study, the modified simple equation scheme is implemented to obtain some new traveling wave solutions of the nonlinear conformable time-fractional approximate long water wave equation and the nonlinear conformable coupled time-fractional Boussinesq-Burger equation, which are used in the expression of shallow-water waves. The time-fractional derivatives are described in terms of conformable fractional derivative sense. Consequently, new exact traveling wave solutions of both equations are achieved.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Fractional partial differential equations]]></kwd>
<kwd lng="en"><![CDATA[modified simple equation method]]></kwd>
<kwd lng="en"><![CDATA[conformable fractional derivative]]></kwd>
<kwd lng="en"><![CDATA[approximate long water wave equation]]></kwd>
<kwd lng="en"><![CDATA[coupled Boussinesq-Burger equation]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hilfer]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Applications of Fractional Calculus in Physic]]></source>
<year>2000</year>
<page-range>87-130</page-range><publisher-loc><![CDATA[Singapore ]]></publisher-loc>
<publisher-name><![CDATA[World Scientific]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kilbas]]></surname>
<given-names><![CDATA[A.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Srivastava]]></surname>
<given-names><![CDATA[H.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Trujillo]]></surname>
<given-names><![CDATA[J.J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Theory and applications of fractional differential equations]]></source>
<year>2006</year>
<page-range>204</page-range><publisher-name><![CDATA[Elsevier Science Limited]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sabatier]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Agrawal]]></surname>
<given-names><![CDATA[O. P.]]></given-names>
</name>
<name>
<surname><![CDATA[Tenreiro Machado]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Advances in Fractional Calculus]]></source>
<year>2007</year>
<publisher-loc><![CDATA[Dordrecht ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kaplan]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Bekir]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The modified simple equation method for solving some fractional-order nonlinear equations]]></article-title>
<source><![CDATA[Pramana]]></source>
<year>2016</year>
<volume>87</volume>
<page-range>15</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gurefe]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The generalized Kudryashov method for the nonlinear fractional partial differential equations with the betaderivative]]></article-title>
<source><![CDATA[Rev. Mex. Fis]]></source>
<year>2020</year>
<volume>66</volume>
<page-range>771</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guner]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
<name>
<surname><![CDATA[Bekir]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Soliton solutions for the time fractional Hamiltonian system by various approaches]]></article-title>
<source><![CDATA[Iran. J. Sci. Technol. Trans. A Sci]]></source>
<year>2018</year>
<volume>42</volume>
<page-range>1587</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Islam]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Islam]]></surname>
<given-names><![CDATA[M.H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Travelling wave solution of Dodd-Bullough-Mikhailov equation: a comparative study between generalized Kudryashov and improved F-expansion methods]]></article-title>
<source><![CDATA[J. Phys. Commun]]></source>
<year>2019</year>
<volume>3</volume>
<page-range>055004</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ghanbari]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J.F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The generalized exponential rational function method for Radhakrishnan-Kundu-Lakshmanan equation with -conformable time derivative]]></article-title>
<source><![CDATA[Rev. Mex. Fis]]></source>
<year>2019</year>
<volume>65</volume>
<page-range>503</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yépez-Martínez]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J.F.]]></given-names>
</name>
<name>
<surname><![CDATA[Atangana]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[First integral method for non-linear differential equations with conformable derivative]]></article-title>
<source><![CDATA[Math. Model. Nat. Phenom]]></source>
<year>2018</year>
<volume>13</volume>
<page-range>14</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wen]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The generalized bifurcation method for deriving exact solutions of nonlinear space-time fractional partial differential equations]]></article-title>
<source><![CDATA[Appl. Math. Comput]]></source>
<year>2020</year>
<volume>366</volume>
<page-range>124735</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Odabasi]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Traveling wave solutions of conformable timefractional Zakharov-Kuznetsov and Zoomeron equations]]></article-title>
<source><![CDATA[Chinese J. Phys]]></source>
<year>2020</year>
<volume>64</volume>
<page-range>194</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>12</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tozar]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Kurt]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Tasbozan]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New wave solutions of time fractional integrable dispersive wave equation arising in ocean engineering models]]></article-title>
<source><![CDATA[Kuwait J. Sci]]></source>
<year>2020</year>
<volume>47</volume>
<page-range>22</page-range></nlm-citation>
</ref>
<ref id="B13">
<label>13</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Alfaqeih]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Bak&#305;c&#305;erler]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[M&#305;s&#305;rl&#305;]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Conformable double Sumudu transform with applications]]></article-title>
<source><![CDATA[J. Appl. Comput. Mech]]></source>
<year>2021</year>
<volume>7</volume>
<page-range>578</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>14</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yépez-Martínez]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J.F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional sub-equation method for Hirota-Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana&#8217;s conformable derivative]]></article-title>
<source><![CDATA[Waves Random Complex Media]]></source>
<year>2019</year>
<volume>29</volume>
<page-range>678</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>15</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Senol]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New analytical solutions of fractional symmetric regularized-long-wave equation]]></article-title>
<source><![CDATA[Rev. Mex. Fis]]></source>
<year>2020</year>
<volume>66</volume>
<page-range>297</page-range></nlm-citation>
</ref>
<ref id="B16">
<label>16</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Inc]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Ü]]></surname>
<given-names><![CDATA[. Ic]]></given-names>
</name>
<name>
<surname><![CDATA[Inan]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J. F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Generalized (G0=G)- expansion method for some soliton wave solutions of Burgers-like and potential KdV equations]]></article-title>
<source><![CDATA[Numer. Methods Partial Differ. Equ]]></source>
<year>2020</year>
<page-range>22637</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>17</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pandey]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An efficient technique for solving the space-time fractional reaction-diffusion equation in porous media]]></article-title>
<source><![CDATA[Chin. J. Phys]]></source>
<year>2020</year>
<volume>68</volume>
<page-range>483</page-range></nlm-citation>
</ref>
<ref id="B18">
<label>18</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pandey]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J. F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On solution of a class of nonlinear variable order fractional reaction-diffusion equation with Mittag-Leffler kernel]]></article-title>
<source><![CDATA[Numer. Methods Partial Differ. Equ]]></source>
<year>2021</year>
<volume>37</volume>
<page-range>998</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>19</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rajeev]]></surname>
<given-names><![CDATA[K. D. Dwivedi]]></given-names>
</name>
<name>
<surname><![CDATA[Das]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J. F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Finite difference/collocation method to solve multi term variable-order fractional reactionadvection- diffusion equation in heterogeneous medium]]></article-title>
<source><![CDATA[Numer. Methods Partial Differ. Equ]]></source>
<year>2021</year>
<volume>37</volume>
<page-range>2031</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>20</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Miller]]></surname>
<given-names><![CDATA[K.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Ross]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[An introduction to the fractional calculus and fractional differential equations]]></source>
<year>1993</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[John-Wily and Sons]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B21">
<label>21</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Podlubny]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fractional differential equations]]></source>
<year>1999</year>
<publisher-loc><![CDATA[London ]]></publisher-loc>
<publisher-name><![CDATA[Academic Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B22">
<label>22</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jumarie]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions]]></article-title>
<source><![CDATA[Appl. Math. Lett]]></source>
<year>2009</year>
<volume>22</volume>
<page-range>378</page-range></nlm-citation>
</ref>
<ref id="B23">
<label>23</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dalir]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Bashour]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Applications of fractional calculus]]></article-title>
<source><![CDATA[Appl. Math. Sci.]]></source>
<year>2010</year>
<volume>4</volume>
<page-range>1021</page-range></nlm-citation>
</ref>
<ref id="B24">
<label>24</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[El-Zahar]]></surname>
<given-names><![CDATA[E.R.]]></given-names>
</name>
<name>
<surname><![CDATA[Alotaibi]]></surname>
<given-names><![CDATA[A.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Ebaid]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Aljohani]]></surname>
<given-names><![CDATA[A.F.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J.F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Riemann-Liouville fractional derivative for Ambartsumian equation]]></article-title>
<source><![CDATA[Results Phys]]></source>
<year>2020</year>
<volume>19</volume>
<page-range>103551</page-range></nlm-citation>
</ref>
<ref id="B25">
<label>25</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Khalil]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Horani]]></surname>
<given-names><![CDATA[M. Al]]></given-names>
</name>
<name>
<surname><![CDATA[Yousef]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Sababheh]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A new definition of fractional derivative]]></article-title>
<source><![CDATA[J. Comput. Appl. Math]]></source>
<year>2014</year>
<volume>264</volume>
<page-range>65</page-range></nlm-citation>
</ref>
<ref id="B26">
<label>26</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Abdeljawad]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On conformable fractional calculus]]></article-title>
<source><![CDATA[J. Comput. Appl. Math]]></source>
<year>2015</year>
<volume>279</volume>
<page-range>57</page-range></nlm-citation>
</ref>
<ref id="B27">
<label>27</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ali]]></surname>
<given-names><![CDATA[K.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Nuruddeen]]></surname>
<given-names><![CDATA[R.I.]]></given-names>
</name>
<name>
<surname><![CDATA[Raslan]]></surname>
<given-names><![CDATA[K.R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New structures for the space-time fractional simplified MCH and SRLW equations]]></article-title>
<source><![CDATA[Chaos Solitons Fractals]]></source>
<year>2018</year>
<volume>106</volume>
<page-range>304</page-range></nlm-citation>
</ref>
<ref id="B28">
<label>28</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sabi&#8217;u]]></surname>
<given-names><![CDATA[.]]></given-names>
</name>
<name>
<surname><![CDATA[Jibril]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Gadu]]></surname>
<given-names><![CDATA[A.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New exact solution for the (3 + 1) conformable space-time fractional modified Korteweg-de-Vries equations via sine-cosine method]]></article-title>
<source><![CDATA[J. Taibah Univ. Sci]]></source>
<year>2019</year>
<volume>13</volume>
<page-range>91</page-range></nlm-citation>
</ref>
<ref id="B29">
<label>29</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kaplan]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Bekir]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Akbulut]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Aksoy]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The modified simple equation method for nonlinear fractional differential equations]]></article-title>
<source><![CDATA[Rom. J. Phys]]></source>
<year>2015</year>
<volume>60</volume>
<page-range>1374</page-range></nlm-citation>
</ref>
<ref id="B30">
<label>30</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zayed]]></surname>
<given-names><![CDATA[E.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Amer]]></surname>
<given-names><![CDATA[Y.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Al-Nowehy]]></surname>
<given-names><![CDATA[A.G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The modified simple equation method and the multiple exp-function method for solving nonlinear fractional Sharma-Tasso-Olver equation]]></article-title>
<source><![CDATA[Acta Math. Appl. Sin. Engl. Ser]]></source>
<year>2016</year>
<volume>32</volume>
<page-range>793</page-range></nlm-citation>
</ref>
<ref id="B31">
<label>31</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ali]]></surname>
<given-names><![CDATA[A.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Ali]]></surname>
<given-names><![CDATA[N.M.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Wazwaz]]></surname>
<given-names><![CDATA[A.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Closed form traveling wave solutions of non-linear fractional evolution equations through the modified simple equation method]]></article-title>
<source><![CDATA[Therm. Sci]]></source>
<year>2018</year>
<volume>22</volume>
<page-range>341</page-range></nlm-citation>
</ref>
<ref id="B32">
<label>32</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Khater]]></surname>
<given-names><![CDATA[M.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New exact solutions for the time fractional coupled Boussinesq-Burger equation and approximate long water wave equation in shallow water]]></article-title>
<source><![CDATA[J. Ocean Eng. Sci]]></source>
<year>2017</year>
<volume>2</volume>
<page-range>223</page-range></nlm-citation>
</ref>
<ref id="B33">
<label>33</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shi]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Liu]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Liu]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Some exact solutions and conservation laws of the coupled time-fractional Boussinesq-Burgers system]]></article-title>
<source><![CDATA[Symmetry]]></source>
<year>2019</year>
<volume>11</volume>
<page-range>77</page-range></nlm-citation>
</ref>
<ref id="B34">
<label>34</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Kaplan]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Haque]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Osman]]></surname>
<given-names><![CDATA[M.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A variety of novel exact solutions for different models with the conformable derivative in shallow water]]></article-title>
<source><![CDATA[Front. Phys]]></source>
<year>2020</year>
<volume>8</volume>
<page-range>177</page-range></nlm-citation>
</ref>
<ref id="B35">
<label>35</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ala]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Demirbilek]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
<name>
<surname><![CDATA[Mamedov]]></surname>
<given-names><![CDATA[K.R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New exact solutions for conformable time fractional equation system via]]></article-title>
<source><![CDATA[IBSEFM, Proceedings Book of ICMRS]]></source>
<year>2020</year>
<page-range>284</page-range></nlm-citation>
</ref>
<ref id="B36">
<label>36</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Javeed]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Saif]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Waheed]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Exact solutions of fractional mBBM equation and coupled system of fractional Boussinesq-Burgers]]></article-title>
<source><![CDATA[Results Phys]]></source>
<year>2018</year>
<volume>9</volume>
<page-range>1275</page-range></nlm-citation>
</ref>
<ref id="B37">
<label>37</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Al-Shawba]]></surname>
<given-names><![CDATA[A. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Abdullah]]></surname>
<given-names><![CDATA[F. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Azmi]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Akbar]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Reliable methods to study some nonlinear conformable systems in shallow water]]></article-title>
<source><![CDATA[Adv. Differ. Equ]]></source>
<year>2020</year>
<volume>2020</volume>
<page-range>232</page-range></nlm-citation>
</ref>
<ref id="B38">
<label>38</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fan]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhou]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Mechanical Solving a Few Fractional Partial Differential Equations and Discussing the Effects of the Fractional Order]]></article-title>
<source><![CDATA[Adv. Math. Phys]]></source>
<year>2020</year>
<volume>2020</volume>
<page-range>3758353</page-range></nlm-citation>
</ref>
<ref id="B39">
<label>39</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guo]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Mei]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Li]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Sun]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The improved fractional sub-equation method and its applications to the spacetime fractional differential equations in fluid mechanics]]></article-title>
<source><![CDATA[Phys. Lett. A]]></source>
<year>2012</year>
<volume>376</volume>
<page-range>407</page-range></nlm-citation>
</ref>
<ref id="B40">
<label>40</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method]]></article-title>
<source><![CDATA[Entropy]]></source>
<year>2015</year>
<volume>17</volume>
<page-range>6519</page-range></nlm-citation>
</ref>
<ref id="B41">
<label>41</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ray]]></surname>
<given-names><![CDATA[S.S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A novel method for travelling wave solutions of fractional Whitham-Broer-Kaup, fractional modified Boussinesq and fractional approximate long wave equations in shallow water]]></article-title>
<source><![CDATA[Math. Methods Appl. Sci]]></source>
<year>2015</year>
<volume>38</volume>
<page-range>1352</page-range></nlm-citation>
</ref>
<ref id="B42">
<label>42</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zheng-Yan]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Ai-Hua]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Explicit solutions of Boussinesq-Burgers equation]]></article-title>
<source><![CDATA[Chin. Phys]]></source>
<year>2007</year>
<volume>16</volume>
<page-range>1233</page-range></nlm-citation>
</ref>
<ref id="B43">
<label>43</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wazwaz]]></surname>
<given-names><![CDATA[A.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A variety of soliton solutions for the Boussinesq-Burgers equation and the higher-order Boussinesq-Burgersequation]]></article-title>
<source><![CDATA[Filomat]]></source>
<year>2017</year>
<volume>31</volume>
<page-range>831</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
