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, cilt.1637, ss.283-289, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 1637
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1063/1.4904590
  • Dergi Adı: AIP Conference Proceedings
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Artic & Antarctic Regions, Communication Abstracts, INSPEC, Metadex, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.283-289
  • Anahtar Kelimeler: Nonlinear Time-Fractional Klein-Gordon Equation, Generalized Kudryashov Method, Soliton Solutions, Hyperbolic Function Solutions, FINDING EXACT-SOLUTIONS
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

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.