Auto-Bäcklund transformation and similarity reductions for coupled Burger's equation

Inan I. E., KAYA D., Ugurlu Y.

Applied Mathematics and Computation, vol.216, no.9, pp.2507-2511, 2010 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Review
  • Volume: 216 Issue: 9
  • Publication Date: 2010
  • Doi Number: 10.1016/j.amc.2010.03.119
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2507-2511
  • Keywords: Bäcklund transformation, Coupled Burger's equation, Similarity reduction, Solitary wave solution, Traveling wave solution
  • İstanbul Ticaret University Affiliated: Yes

Abstract

In this work, we applied Bäcklund transformation and similarity reduction for coupled Burger's equation. Clarkson and Kruskal developed a direct and simple method to obtain more similarity solutions of nonlinear partial differential equation. We received our inspiration from Fan's article, as far as we think that our work is an extended one from the Fan's has done in his paper. As a result of this study, we obtained solitary wave solutions and traveling wave solutions of coupled Burger's equation. © 2010 Elsevier Inc. All rights reserved.