<?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>S0035-001X2024000300017</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.70.031306</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Some novel different solutions for Boussinesq-type models including bright, singular, and dark soliton ones]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Darvishi]]></surname>
<given-names><![CDATA[M.T.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Najafi]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rezazadeh]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rezapour]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Inc]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Razi University Department of Mathematics ]]></institution>
<addr-line><![CDATA[Kermanshah ]]></addr-line>
<country>Iran</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Kent State University Department of Mathematical Sciences ]]></institution>
<addr-line><![CDATA[Kent OH]]></addr-line>
<country>USA</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Amol University of Special Modern Technologies Faculty of Engineering Technology ]]></institution>
<addr-line><![CDATA[Amol ]]></addr-line>
<country>Iran</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Azarbaijan Shahid Madani University Department of Mathematics ]]></institution>
<addr-line><![CDATA[Tabriz ]]></addr-line>
<country>Iran</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,China Medical University Department of Medical Research ]]></institution>
<addr-line><![CDATA[Taichung ]]></addr-line>
<country>Taiwan</country>
</aff>
<aff id="Af6">
<institution><![CDATA[,Firat University Department of Mathematics ]]></institution>
<addr-line><![CDATA[Elazig ]]></addr-line>
<country>Turkey</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2024</year>
</pub-date>
<volume>70</volume>
<numero>3</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2024000300017&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2024000300017&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2024000300017&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Some new different kinds of one-soliton solutions for various forms of Boussinesq-type equations are presented in this paper to describe the nonlinear wave phenomena in coastal and ocean areas such as tsunami waves. These one-soliton solutions include bright, dark, and singular ones. The property of each solution in coastal and ocean engineering is explained.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Boussinesq-type equation]]></kwd>
<kwd lng="en"><![CDATA[singular-solution]]></kwd>
<kwd lng="en"><![CDATA[dark-soliton solution]]></kwd>
<kwd lng="en"><![CDATA[bright-soliton solution]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Peregrine]]></surname>
<given-names><![CDATA[D.H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Long wave on a beach]]></article-title>
<source><![CDATA[J. Fluid Mech.]]></source>
<year>1967</year>
<volume>27</volume>
<page-range>815-27</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Christov]]></surname>
<given-names><![CDATA[C.I.]]></given-names>
</name>
<name>
<surname><![CDATA[Maugin]]></surname>
<given-names><![CDATA[G.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Velarde]]></surname>
<given-names><![CDATA[M.G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Well-posed Boussinesq paradigm with purely spatial higher-order derivatives]]></article-title>
<source><![CDATA[Phys. Rev. E.]]></source>
<year>1996</year>
<volume>54</volume>
<page-range>3621-38</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Biswas]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Milovic]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Ranasinghe]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Solitary waves of Boussinesq equation in a power law media]]></article-title>
<source><![CDATA[Commun. Nonlinear Sci. Numer. Simul.]]></source>
<year>2009</year>
<volume>14</volume>
<page-range>3738-42</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>4</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[New traveling wave solutions to the Boussinesq and the Klein-Gordon equations]]></article-title>
<source><![CDATA[Commun. Nonlinear Sci. Numer. Simul.]]></source>
<year>2008</year>
<volume>13</volume>
<page-range>889-901</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[Wazwaz]]></surname>
<given-names><![CDATA[A.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Multiple soliton solutions for an integrable couplings of the Boussinesq equation]]></article-title>
<source><![CDATA[Ocean Engineering]]></source>
<year>2013</year>
<volume>73</volume>
<page-range>38-40</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[Akbar]]></surname>
<given-names><![CDATA[M.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Akinyemi]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Yao]]></surname>
<given-names><![CDATA[S.W.]]></given-names>
</name>
<name>
<surname><![CDATA[Jhangeer]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Rezazadeh]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Khater]]></surname>
<given-names><![CDATA[M.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Ahmad]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Inc]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method]]></article-title>
<source><![CDATA[Res. Phys.]]></source>
<year>2021</year>
<volume>25</volume>
<page-range>104228</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[Wazwaz]]></surname>
<given-names><![CDATA[A.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Multiple-soliton solutions for the Boussinesq equation]]></article-title>
<source><![CDATA[Appl. Math. Comput.]]></source>
<year>2007</year>
<volume>192</volume>
<page-range>479-86</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[Wazwaz]]></surname>
<given-names><![CDATA[A.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Solitons and singular solitons for a variety of Boussinesq-like equations]]></article-title>
<source><![CDATA[Ocean Engineering]]></source>
<year>2012</year>
<volume>53</volume>
<page-range>1-5</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[Daripa]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Hua]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A numerical study of an ill-posed Boussinesq equation arising in water waves and nonlinear lattices: Filtering and regularization techniques]]></article-title>
<source><![CDATA[Appl. Math. Comput.]]></source>
<year>1999</year>
<volume>101</volume>
<page-range>159-207</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[Adhikari]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Cao]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Wu]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The 2D Boussinesq equations with vertical viscosity and vertical diffusivity]]></article-title>
<source><![CDATA[Journal of Differential Equations]]></source>
<year>2010</year>
<volume>249</volume>
<page-range>1078-88</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[Biswas]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Solitary waves for power-law regularized long-wave equation and R(m, n) equation]]></article-title>
<source><![CDATA[Nonlinear Dyn.]]></source>
<year>2010</year>
<volume>59</volume>
<page-range>423-6</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[Biswas]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Khalique]]></surname>
<given-names><![CDATA[C.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Stationary solutions for nonlinear dispersive Schrodinger&#8217;s¨ equation]]></article-title>
<source><![CDATA[Nonlinear Dyn.]]></source>
<year>2011</year>
<volume>63</volume>
<page-range>623-6</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[Bona]]></surname>
<given-names><![CDATA[J.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Saut]]></surname>
<given-names><![CDATA[J.-C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory]]></article-title>
<source><![CDATA[Nonlinearity]]></source>
<year>2004</year>
<volume>17</volume>
<page-range>925</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[Christov]]></surname>
<given-names><![CDATA[C.I.]]></given-names>
</name>
<name>
<surname><![CDATA[Maugin]]></surname>
<given-names><![CDATA[G.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Velarde]]></surname>
<given-names><![CDATA[M.G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Well-posed Boussinesq paradigm with purely spatial higher-order derivatives]]></article-title>
<source><![CDATA[Phys. Rev. E]]></source>
<year>1996</year>
<volume>54</volume>
<page-range>3621</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[Huazhi]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Huajun]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Xiaodong]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Aixia]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The application of a numerical model to coastal surface water waves]]></article-title>
<source><![CDATA[Journal of Ocean University of China]]></source>
<year>2005</year>
<volume>4</volume>
<page-range>177</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[Droenen]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Deigaard]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Adaptation of a Boussinesq wave model for Dune erosion modeling]]></article-title>
<source><![CDATA[Coastal Engineering Proceedings]]></source>
<year>2012</year>
<volume>1</volume>
<page-range>31</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[Kirby]]></surname>
<given-names><![CDATA[J.T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Boussinesq models and their application to coastal processes across a wide range of scales. PhD diss.]]></article-title>
<source><![CDATA[American Society of Civil Engineers]]></source>
<year>2016</year>
</nlm-citation>
</ref>
<ref id="B18">
<label>18</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lynett]]></surname>
<given-names><![CDATA[P.J.]]></given-names>
</name>
<name>
<surname><![CDATA[Melby]]></surname>
<given-names><![CDATA[J.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Kim]]></surname>
<given-names><![CDATA[D.-H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An application of Boussinesq modeling to hurricane wave overtopping and inundation]]></article-title>
<source><![CDATA[Ocean Engineering]]></source>
<year>2010</year>
<volume>37</volume>
<page-range>135-53</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[Roeber]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Cheung]]></surname>
<given-names><![CDATA[K.F.]]></given-names>
</name>
<name>
<surname><![CDATA[Kobayashi]]></surname>
<given-names><![CDATA[M.H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Shock-capturing Boussinesq-type model for nearshore wave processes]]></article-title>
<source><![CDATA[Coastal Engineering]]></source>
<year>2010</year>
<volume>57</volume>
<page-range>407-23</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>20</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[Solitons and singular solitons for a variety of Boussinesq-like equations]]></article-title>
<source><![CDATA[Ocean Eng.]]></source>
<year>2012</year>
<volume>53</volume>
<page-range>1-5</page-range></nlm-citation>
</ref>
<ref id="B21">
<label>21</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Darvishi]]></surname>
<given-names><![CDATA[M.T.]]></given-names>
</name>
<name>
<surname><![CDATA[Najafi]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Wazwaz]]></surname>
<given-names><![CDATA[A.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Soliton solutions for Boussinesq-like equations with spatio-temporal dispersion]]></article-title>
<source><![CDATA[Ocean Eng.]]></source>
<year>2017</year>
<volume>130</volume>
<page-range>228-40</page-range></nlm-citation>
</ref>
<ref id="B22">
<label>22</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Darvishi]]></surname>
<given-names><![CDATA[M.T.]]></given-names>
</name>
<name>
<surname><![CDATA[Najafi]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Wazwaz]]></surname>
<given-names><![CDATA[A.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Traveling wave solutions for Boussinesq-like equations with spatial and spatial-temporal dispersion]]></article-title>
<source><![CDATA[Rom. Rep. Phys.]]></source>
<year>2018</year>
<volume>70</volume>
<page-range>108</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[Nakamura]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Simple explode-decay mode solutions of a certain one-space dimensional nonlinear evolution equations]]></article-title>
<source><![CDATA[J. Phys. Soc. Japan]]></source>
<year>1972</year>
<volume>33</volume>
<page-range>1456-8</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
