The Investigation of Exact Solutions of Nonlinear Time-Fractional Klein-Gordon Equation by Using Generalized Kudryashov Method

DEMİRAY Ş. T., PANDIR Y., BULUT H.

10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA), Narvik, Norveç, 15 - 18 Temmuz 2014, cilt.1637, ss.283-289 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1637
  • Doi Numarası: 10.1063/14904590
  • Basıldığı Şehir: Narvik
  • Basıldığı Ülke: Norveç
  • 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.