Traveling wave solutions for time-dependent coefficient nonlinear evolution equations

GÜNER Ö., Bekir A.

WAVES IN RANDOM AND COMPLEX MEDIA, vol.25, no.3, pp.342-349, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.1080/17455030.2015.1031719
  • Journal Name: WAVES IN RANDOM AND COMPLEX MEDIA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.342-349
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this article, we establish exact solutions for variable-coefficient modified KdV equation, variable-coefficient KdV equation, and variable-coefficient diffusion-reaction equations. The modified sine-cosine method is used to construct exact periodic solutions. These solutions may be important for the explanation of some practical physical problems. The obtained results show that the modified sine-cosine method provides a powerful mathematical tool for solving nonlinear equations with variable coefficients.