New exact travelling wave solutions for the Ostrovsky equation

Kangalgil F., Ayaz F.

PHYSICS LETTERS A, vol.372, no.11, pp.1831-1835, 2008 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 372 Issue: 11
  • Publication Date: 2008
  • Doi Number: 10.1016/j.physleta.2007.10.045
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1831-1835
  • Keywords: exact solutions, auxiliary equation method, Ostrovsky equation, ELLIPTIC FUNCTION EXPANSION, NONLINEAR EVOLUTION, BACKLUND TRANSFORMATION
  • Dokuz Eylül University Affiliated: No

Abstract

In this Letter, auxiliary equation method is proposed for constructing more general exact solutions of nonlinear partial differential equation with the aid of symbolic computation. In order to illustrate the validity and the advantages of the method we choose the Ostrovsky equation. As a result, many new and more general exact solutions have been obtained for the equation. (C) 2007 Elsevier B.V. All rights reserved.