<?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>S0035-001X2018000600590</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.64.590</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Mathematical modeling of DNA vibrational dynamics and its solitary wave solutions]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Abazari]]></surname>
<given-names><![CDATA[Reza]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Jamshidzadeh]]></surname>
<given-names><![CDATA[Shabnam]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[Gangwei]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Mohaghegh Ardabili University Facultad de Ciencias Departamento de Matemática]]></institution>
<addr-line><![CDATA[Ardabil ]]></addr-line>
<country>Iran</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Islamic Azad University  ]]></institution>
<addr-line><![CDATA[Ardabil ]]></addr-line>
<country>Iran</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Hebei University of Economics and Business School of Mathematics and Statistics ]]></institution>
<addr-line><![CDATA[Shijiazhuang ]]></addr-line>
<country>PR China</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Beijing Institute of Technology School of Mathematics and Statistics ]]></institution>
<addr-line><![CDATA[Beijing ]]></addr-line>
<country>China</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2018</year>
</pub-date>
<volume>64</volume>
<numero>6</numero>
<fpage>590</fpage>
<lpage>597</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2018000600590&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2018000600590&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2018000600590&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this work, the traveling wave solutions of a mathematical modeling of DNA vibration dynamics proposed by Peyrard-Bishop, that takes into consideration the inclusion of nonlinear interaction between adjacent displacements along the Hydrogen bonds, is investigated by both (G'/G)-expansion and F-expansion methods. Using these methods, some new explicit forms of traveling wave solutions of present nonlinear equation are given. The methods come in to be easier and faster by means of a symbolic computation and yield powerful mathematical tools for solving nonlinear evolution equations in many branches of sciences, especially Physics, Biology, etc.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[(G'=G)-expansion method]]></kwd>
<kwd lng="en"><![CDATA[F-expansion method]]></kwd>
<kwd lng="en"><![CDATA[generalized DNA vibration dynamics]]></kwd>
<kwd lng="en"><![CDATA[hyperbolic function solutions]]></kwd>
<kwd lng="en"><![CDATA[trigonometric function solutions]]></kwd>
<kwd lng="en"><![CDATA[solitary wave solutions]]></kwd>
<kwd lng="en"><![CDATA[02.30.Jr]]></kwd>
<kwd lng="en"><![CDATA[03.65.Ge]]></kwd>
<kwd lng="en"><![CDATA[04.20.Jb]]></kwd>
<kwd lng="en"><![CDATA[87.14.Gg]]></kwd>
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