Original scientific paper

Solutions of a class of nonlinear wave equations

Yuan-Xi Xie ; Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China
Jia-Shi Tang ; Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China

Abstract

The Burgers equation, KdV equation and Burgers-KdV equation are real physical mode equations concerning many branches in physics. In this paper, by introducing a new transformation and applying the trial-function method to these three equations, a series of more general explicit and exact travelling wave solutions to them, which include the solitary wave solutions, the singular travelling-wave solutions, and the triangle-function periodic wave solutions, are presented. Among them, some are new travelling-wave solutions.

Keywords

nonlinear wave equation; trial function; solitary wave solution; singular travelling wave solution; triangle function solution

Hrčak ID:

302006

URI

https://hrcak.srce.hr/302006

Publication date:

3.7.2005.

Article data in other languages: croatian

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