Travelling wave solutions of nonlinear evolution equations by using the first integral method

TAŞCAN F., Bekir A., KOPARAN M.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, vol.14, no.5, pp.1810-1815, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 5
  • Publication Date: 2009
  • Doi Number: 10.1016/j.cnsns.2008.07.009
  • Journal Name: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1810-1815
  • Keywords: Travelling wave solutions, First integral method, Modified Zakharov-Kuznetsov (MZK) equation, ZK-MEW equation, EXP-FUNCTION METHOD, EXTENDED TANH METHOD, DE-VRIES EQUATION, ZK-MEW EQUATION
  • Anadolu University Affiliated: Yes

Abstract

In this paper, we established travelling wave Solutions for some (2 + 1)-dimensional nonlinear evolution equations. The first integral method was used to construct travelling wave solutions of nonlinear evolution equations. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. The first integral method presents a wider applicability for handling nonlinear wave equations. (C) 2008 Elsevier B.V. All rights reserved.