A procedure to construct exact solutions of nonlinear evolution equations


ÇEVİKEL A. C. , Bekir A., AKAR M. , San S.

PRAMANA-JOURNAL OF PHYSICS, vol.79, no.3, pp.337-344, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 79 Issue: 3
  • Publication Date: 2012
  • Doi Number: 10.1007/s12043-012-0326-1
  • Title of Journal : PRAMANA-JOURNAL OF PHYSICS
  • Page Numbers: pp.337-344

Abstract

In this paper, we implemented the functional variable method for the exact solutions of the Zakharov-Kuznetsov-modified equal-width (ZK-MEW), the modified Benjamin-Bona-Mahony (mBBM) and the modified KdV-Kadomtsev-Petviashvili (KdV-KP) equations. By using this scheme, we found some exact solutions of the above-mentioned equations. The obtained solutions include solitary wave solutions, periodic wave solutions and combined formal solutions. The functional variable method presents a wider applicability for handling nonlinear wave equations.