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, Norway, 15 - 18 July 2014, vol.1637, pp.283-289 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1637
  • Doi Number: 10.1063/14904590
  • City: Narvik
  • Country: Norway
  • Page Numbers: pp.283-289
  • Keywords: Nonlinear Time-Fractional Klein-Gordon Equation, Generalized Kudryashov Method, Soliton Solutions, Hyperbolic Function Solutions, FINDING EXACT-SOLUTIONS

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.