Analytic treatment of nonlinear evolution equations using first integral method

Bekir A., ÜNSAL Ö.

PRAMANA-JOURNAL OF PHYSICS, vol.79, no.1, pp.3-17, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 79 Issue: 1
  • Publication Date: 2012
  • Doi Number: 10.1007/s12043-012-0282-9
  • Journal Name: PRAMANA-JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3-17
  • Keywords: Exact solutions, first integral method, combined KdV-mKdV equation, Pochhammer-Chree equation, coupled nonlinear evolution equations, TRAVELING-WAVE SOLUTIONS, POCHHAMMER-CHREE EQUATIONS, MULTIPLE-SOLITON SOLUTIONS, HOMOGENEOUS BALANCE METHOD, EXP-FUNCTION METHOD, KDV-MKDV EQUATION, DE-VRIES EQUATION, (G'/G)-EXPANSION METHOD, TANH METHOD, MATHEMATICAL PHYSICS
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this paper, we show the applicability of the first integral method to combined KdV-mKdV equation, Pochhammer-Chree equation and coupled nonlinear evolution equations. The power of this manageable method is confirmed by applying it for three selected nonlinear evolution equations. This approach can also be applied to other nonlinear differential equations.