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Travelling wave solutions for fractional Korteweg-de Vries equations via an approximate-analytical method

Thabet, Hayman; Kendre, Subhash; Peters, James


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/74665</identifier>
  <creators>
    <creator>
      <creatorName>Thabet, Hayman</creatorName>
      <givenName>Hayman</givenName>
      <familyName>Thabet</familyName>
      <affiliation>Savitribai Phule Pune Univ, Dept Math, Pune 411007, Maharashtra, India</affiliation>
    </creator>
    <creator>
      <creatorName>Kendre, Subhash</creatorName>
      <givenName>Subhash</givenName>
      <familyName>Kendre</familyName>
      <affiliation>Savitribai Phule Pune Univ, Dept Math, Pune 411007, Maharashtra, India</affiliation>
    </creator>
    <creator>
      <creatorName>Peters, James</creatorName>
      <givenName>James</givenName>
      <familyName>Peters</familyName>
    </creator>
  </creators>
  <titles>
    <title>Travelling Wave Solutions For Fractional Korteweg-De Vries Equations Via An Approximate-Analytical Method</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2019</publicationYear>
  <dates>
    <date dateType="Issued">2019-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/74665</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.3934/math.2019.4.1203</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">This paper introduces an approximate-analytical method (AAM) for solving nonlinear fractional partial differential equations (NFPDEs) in full general forms. The main advantage of the paper is to apply the proposed AAM to solve the fractional Korteweg-de Vries (KdV) equations. Moreover, the analytical travelling wave solutions for the fractional KdV equation and the modified fractional KdV equation are successfully obtained. The numerical solutions are also obtained in the forms of tables and graphs. The fractional partial derivatives are considered in Caputo sense.</description>
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