The investigation of exact solutions of nonlinear time fractional Klein Gordon equation by using generalized Kudryashov method

TÜLÜCE DEMİRAY Ş., PANDIR Y., BULUT H.

AIP Conference Proceedings, vol.1637, pp.283-289, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 1637
  • Publication Date: 2014
  • Doi Number: 10.1063/1.4904590
  • Journal Name: AIP Conference Proceedings
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Artic & Antarctic Regions, Communication Abstracts, INSPEC, Metadex, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.283-289
  • Keywords: Nonlinear Time-Fractional Klein-Gordon Equation, Generalized Kudryashov Method, Soliton Solutions, Hyperbolic Function Solutions, FINDING EXACT-SOLUTIONS
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this study, we consider exact solutions of nonlinear time-fractional Klein-Gordon equation by using generalized Kudryashov method (GKM). The nonlinear time-fractional Klein-Gordon equation can be converted into nonlinear ordinary differantial equation by transformation. Consequently, GKM has been implemented to find exact solutions of nonlinear time-fractional Klein-Gordon equation and we obtain some new solutions such as soliton solutions and hyperbolic function solutions. Moreover, we point out that this method is a generalized form of classical Kudryashov Method.