<?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>S0035-001X2024000501301</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.70.051301</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Solitary wave type solutions of nonlinear improved mKdV equation by modified techniques]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Alhefthi]]></surname>
<given-names><![CDATA[R. K.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. Ishfaq]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Sabi&#8217;u]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Khan Marwat]]></surname>
<given-names><![CDATA[D. Nawaz]]></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[,King Saud University College of Sciences Department of Mathematics]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Arabia Saudita</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,COMSATS University Islamabad Department of Mathematics ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Pakistan</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Yusuf Maitama Sule University Department of Mathematics ]]></institution>
<addr-line><![CDATA[Kano ]]></addr-line>
<country>Nigeria</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Islamia College Peshawar Faculty of Technologies and Engineering Sciences Department of Mathematics]]></institution>
<addr-line><![CDATA[Peshawar Khyber Pakhtunkhwa]]></addr-line>
<country>Pakistan</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,Firat University Department of Mathematics ]]></institution>
<addr-line><![CDATA[Elazig ]]></addr-line>
<country>Turquia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>10</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>10</month>
<year>2024</year>
</pub-date>
<volume>70</volume>
<numero>5</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2024000501301&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2024000501301&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2024000501301&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[In this paper, the improved and modified version of the Sardar sub-equation method (IMSSEM) and the improved generalized Riccati equation mapping method (IGREMM) are manipulated effectively and generously to determine the exact solitary wave soliton solutions of the improved modified KdV (mKdV) equation. The purpose of this study is to provide novel exact solutions to the improved mKdV equation. Specifically, we utilized IMSSEM and IGREMM to study different solutions of the nonlinear improved mKdV equation, focusing on exponential, trigonometric, and trigonometric hyperbolic type solutions. Furthermore, the plotting of various solutions for direct viewing analysis is provided in two and three-dimensional graphs. The new strategies are straightforward, quick, and efficient and have many other advantages, whereas, they provide the most accurate and unique solution to many other types of nonlinear partial differential equations (NPDEs), which usually arise in engineering and applied sciences. It should be noted that these methodologies are novel mathematical instruments that have shown to be the most effective mathematical tools for solving higher-order nonlinear partial differential equations in mathematical physics. Symbolic computation was used to validate all of the solutions that were established. Thus, it is also hoped that these techniques will ultimately reduce the cumbersome workload involved during the process of solutions to complicated NLPDEs.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[IMSSEM and IGREMM]]></kwd>
<kwd lng="en"><![CDATA[improved mKdV equation]]></kwd>
<kwd lng="en"><![CDATA[solitary wave solution]]></kwd>
<kwd lng="en"><![CDATA[NLPDEs]]></kwd>
</kwd-group>
</article-meta>
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