New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion method

TAŞBOZAN O., Çenesiz Y., Kurt A.

European Physical Journal Plus, vol.131, no.7, 2016 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 131 Issue: 7
  • Publication Date: 2016
  • Doi Number: 10.1140/epjp/i2016-16244-x
  • Journal Name: European Physical Journal Plus
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

In this paper, the Jacobi elliptic function expansion method is proposed for the first time to construct the exact solutions of the time conformable fractional two-dimensional Boussinesq equation and the combined KdV-mKdV equation. New exact solutions are found. This method is based on Jacobi elliptic functions. The results obtained confirm that the proposed method is an efficient technique for analytic treatment of a wide variety of nonlinear conformable time-fractional partial differential equations.