New Exact Solutions of Time Fractional Gardner Equation by Using New Version of F-Expansion Method

PANDIR Y., Duzgun H. H.

COMMUNICATIONS IN THEORETICAL PHYSICS, vol.67, no.1, pp.9-14, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 67 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.1088/0253-6102/67/1/9
  • Journal Name: COMMUNICATIONS IN THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.9-14
  • Keywords: new version of F-expansion method, nonlinear differential equations with fractional derivatives, single and combined Jacobi elliptic functions solutions, 1ST INTEGRAL METHOD, MODEL, DIFFUSION, SPACE
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this article, we consider analytical solutions of the time fractional derivative Gardner equation by using the new version of F-expansion method. With this proposed method multiple Jacobi elliptic functions are situated in the solution function. As a result, various exact analytical solutions consisting of single and combined Jacobi elliptic functions solutions are obtained.