<?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>S0035-001X2022000200507</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.68.020707</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Optical solitons to fractal nonlinear Schrödinger equation with non-Kerr law nonlinearity in magneto-optic waveguides]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Raza]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Yasmeen]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</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[,University of the Punjab Department of Mathematics ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Pakistan</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>04</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>04</month>
<year>2022</year>
</pub-date>
<volume>68</volume>
<numero>2</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2022000200507&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2022000200507&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2022000200507&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This paper introduces the fractal model of the nonlinear Schrödinger equation with quadratic-cubic nonlinearity in magneto-optic waveguides, having plenty of applications in fiber optics. He&#8217;s variational approach and Painleve technique are used to obtain bright and kink soliton solutions of the governing system. The constraint conditions that ensure the existence of these solitons arise naturally from the model&#8217;s solution structure. To quantify the behavior of different solutions, the effect of the fractal parameter is studied. These techniques may be very useful and efficient tools for solving nonlinear fractal differential equations that emerge in mathematical physics.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Variational principle]]></kwd>
<kwd lng="en"><![CDATA[Painleve approach]]></kwd>
<kwd lng="en"><![CDATA[nonlinear Schrödinger equation]]></kwd>
<kwd lng="en"><![CDATA[solitons]]></kwd>
<kwd lng="en"><![CDATA[quadratic-cubic nonlinearity]]></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[Fedele]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Schamel]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Karpman]]></surname>
<given-names><![CDATA[V.I.]]></given-names>
</name>
<name>
<surname><![CDATA[Shukla]]></surname>
<given-names><![CDATA[P. K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Envelope solitons of nonlinear Schrödinger equation with an anticubic nonlinearity]]></article-title>
<source><![CDATA[J. Phys. A.]]></source>
<year>2003</year>
<volume>36</volume>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</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 study on linear and nonlinear Schrödinger equations by the variational iteration method]]></article-title>
<source><![CDATA[Chaos, Solitons Fractals]]></source>
<year>2008</year>
<volume>37</volume>
</nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zayed]]></surname>
<given-names><![CDATA[E.M.E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Solitons in magneto-optic waveguides with dual-power law nonlinearity]]></article-title>
<source><![CDATA[Physics Letters A]]></source>
<year>2020</year>
<volume>384</volume>
</nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Savescu]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Bhrawy]]></surname>
<given-names><![CDATA[A.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Hilal]]></surname>
<given-names><![CDATA[E.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Alshaery]]></surname>
<given-names><![CDATA[A.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Biswas]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Optical solitons in magneto-optic waveguides with spatio-temporal dispersion]]></article-title>
<source><![CDATA[Frequenz]]></source>
<year>2014</year>
<volume>68</volume>
</nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Eslami]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Mirzazadeh]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Optical solitons with BiswasMilovic equation for power law and dual-power law nonlinearities]]></article-title>
<source><![CDATA[Nonlinear Dyn.]]></source>
<year>2016</year>
<volume>83</volume>
</nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Agarwal]]></surname>
<given-names><![CDATA[G.P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fiber-optic communication systems]]></source>
<year>2002</year>
<edition>3</edition>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[John Wiley and Sons]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Khater]]></surname>
<given-names><![CDATA[A.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Callebaut]]></surname>
<given-names><![CDATA[D.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Helal]]></surname>
<given-names><![CDATA[M.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Seadawy]]></surname>
<given-names><![CDATA[A.R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Variational method for the nonlinear dynamics of an elliptic magnetic stagnation line]]></article-title>
<source><![CDATA[Eur. Phys. J. D]]></source>
<year>2006</year>
<volume>39</volume>
</nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zhou]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[He]]></surname>
<given-names><![CDATA[X.T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Stochastic diffusion of electrons in evolutive Langmuir fields]]></article-title>
<source><![CDATA[Phys. Scr.]]></source>
<year>1994</year>
<volume>50</volume>
</nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Barashenkoy]]></surname>
<given-names><![CDATA[I.V.]]></given-names>
</name>
<name>
<surname><![CDATA[Makhankov]]></surname>
<given-names><![CDATA[V.G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Soliton-like &#8220;bubbles&#8221; in a system of interacting bosons]]></article-title>
<source><![CDATA[Phys. Lett. A]]></source>
<year>1998</year>
<volume>128</volume>
</nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Alomari]]></surname>
<given-names><![CDATA[A.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Jawad]]></surname>
<given-names><![CDATA[T.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Saad]]></surname>
<given-names><![CDATA[K.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Al-Mdallal]]></surname>
<given-names><![CDATA[Q.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Numerical solutions of fractional parabolic equations with generalized Mittag-Leffler kernels]]></article-title>
<source><![CDATA[Numer. Methods Partial Differ. Equ.]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Alderremy]]></surname>
<given-names><![CDATA[A.A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New models of fractional blood ethanol and two-cell cubic autocatalator reaction equations]]></article-title>
<source><![CDATA[Math. Methods Appl. Sci.]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B12">
<label>12</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Khader]]></surname>
<given-names><![CDATA[M.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Saad]]></surname>
<given-names><![CDATA[K.M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Numerical studies of the fractional Korteweg-de Vries, Korteweg-de VriesBurgers&#8217; and Burgers&#8217; Equations]]></article-title>
<source><![CDATA[Proc. Natl. Acad. Sci. India A]]></source>
<year>2021</year>
<volume>91</volume>
</nlm-citation>
</ref>
<ref id="B13">
<label>13</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hasegawa]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Kodama]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<source><![CDATA[Solitons in optical communications]]></source>
<year>1995</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Oxford University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<label>14</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J.F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Optical solitons in birefringent fibers with quadratic-cubic nonlinearity using three integration architectures]]></article-title>
<source><![CDATA[AIP Adv.]]></source>
<year>2021</year>
<volume>11</volume>
</nlm-citation>
</ref>
<ref id="B15">
<label>15</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Raza]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Afzal]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
<name>
<surname><![CDATA[Butt]]></surname>
<given-names><![CDATA[A.R.]]></given-names>
</name>
<name>
<surname><![CDATA[Rezazadeh]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Optical solitons in nematic liquid crystals with Kerr and parabolic law nonlinearities]]></article-title>
<source><![CDATA[Opt. Quantum Electron.]]></source>
<year>2019</year>
<volume>51</volume>
</nlm-citation>
</ref>
<ref id="B16">
<label>16</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Raza]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Javid]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Optical dark and dark-singular soliton solutions of (1+2)-dimensional chiral nonlinear Schrödinger&#8217;s equation]]></article-title>
<source><![CDATA[Waves in Random and Complex Media]]></source>
<year>2019</year>
<volume>29</volume>
</nlm-citation>
</ref>
<ref id="B17">
<label>17</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Raza]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Zubair]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Optical dark and singular solitons of generalized nonlinear Schrödinger&#8217;s equation with anti-cubic law of nonlinearity]]></article-title>
<source><![CDATA[Mod. Phys. Lett. B]]></source>
<year>2019</year>
<volume>33</volume>
</nlm-citation>
</ref>
<ref id="B18">
<label>18</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Arshad]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Seadawy]]></surname>
<given-names><![CDATA[A.R.]]></given-names>
</name>
<name>
<surname><![CDATA[Lu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Exact brightdark solitary wave solutions of the higher-order cubicquintic nonlinear Schrödinger equation and its stability]]></article-title>
<source><![CDATA[Optik]]></source>
<year>2017</year>
<volume>138</volume>
</nlm-citation>
</ref>
<ref id="B19">
<label>19</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[Resonant optical solitons with quadraticcubic nonlinearity by semi-inverse variational principle]]></article-title>
<source><![CDATA[Optik]]></source>
<year>2017</year>
<volume>145</volume>
</nlm-citation>
</ref>
<ref id="B20">
<label>20</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ekici]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Solitons in magneto-optic waveguides by extended trial function scheme]]></article-title>
<source><![CDATA[Superlatt. Microstruct.]]></source>
<year>2017</year>
<volume>107</volume>
</nlm-citation>
</ref>
<ref id="B21">
<label>21</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fujioka]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Chaotic solitons in the quadratic-cubic nonlinear Schrödinger equation under nonlinearity management]]></article-title>
<source><![CDATA[Chaos]]></source>
<year>2011</year>
<volume>21</volume>
</nlm-citation>
</ref>
<ref id="B22">
<label>22</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[He]]></surname>
<given-names><![CDATA[J.H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Variational principles for some nonlinear partial differential equations with variable coefficients]]></article-title>
<source><![CDATA[Choas, Solitons Fractals]]></source>
<year>2004</year>
<volume>19</volume>
</nlm-citation>
</ref>
<ref id="B23">
<label>23</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Asma]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Othman]]></surname>
<given-names><![CDATA[W.A.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Won]]></surname>
<given-names><![CDATA[B.R.]]></given-names>
</name>
<name>
<surname><![CDATA[Biswas]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Optical soliton perturbation with quadratic-cubic nonlinearity by semi-inverse variational principle]]></article-title>
<source><![CDATA[Proc. Rom. Acad. A]]></source>
<year>2017</year>
<volume>18</volume>
</nlm-citation>
</ref>
<ref id="B24">
<label>24</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[He]]></surname>
<given-names><![CDATA[J.H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Some asymptotic methods for strongly nonlinear equations]]></article-title>
<source><![CDATA[Int. J. Mod. Phys. B]]></source>
<year>2006</year>
<volume>20</volume>
</nlm-citation>
</ref>
<ref id="B25">
<label>25</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[Optical soliton perturbation in nanofibers with improved nonlinear Schrödinger¨ equation by semi-inverse variational principle]]></article-title>
<source><![CDATA[J. Nonlinear Opt. Phys. Mater.]]></source>
<year>2012</year>
<volume>21</volume>
</nlm-citation>
</ref>
<ref id="B26">
<label>26</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Variational approach to solitary wave solution of the generalized Zakharov equation]]></article-title>
<source><![CDATA[Comput. Math. Appl.]]></source>
<year>2007</year>
<volume>54</volume>
</nlm-citation>
</ref>
<ref id="B27">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractal modification of complex Ginzburg-Landau model arising in the oscillating phenomena]]></article-title>
<source><![CDATA[Res. Phys.]]></source>
<year>2020</year>
<volume>18</volume>
</nlm-citation>
</ref>
<ref id="B28">
<label>28</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[He]]></surname>
<given-names><![CDATA[J.H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A fractal variational theory for one-dimensional compressible flow in a microgravity space]]></article-title>
<source><![CDATA[Fractals]]></source>
<year>2020</year>
<volume>28</volume>
</nlm-citation>
</ref>
<ref id="B29">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kudryashov]]></surname>
<given-names><![CDATA[N.A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Painlevé approach for finding solitary wave solutions nonlinear nonintegrable differential equations]]></article-title>
<source><![CDATA[Optik]]></source>
<year>2019</year>
<volume>183</volume>
</nlm-citation>
</ref>
<ref id="B30">
<label>30</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[He]]></surname>
<given-names><![CDATA[J.H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractal calculus and its geometrical explanation]]></article-title>
<source><![CDATA[Res. Phys.]]></source>
<year>2018</year>
<volume>10</volume>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
