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A new auxiliary equation method for finding travelling wave solutions to KdV equation

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  • 1. College of Science, Inner Mongolia University of Technology, Hohhot 010051, P. R. China;
    2. Department of Mathematics, Shanghai Maritime University, Shanghai 200315, P. R. China

Received date: 2009-09-17

  Revised date: 2010-05-05

  Online published: 2010-07-01

Abstract

In this paper, a new auxiliary equation method is used to find exact travelling wave solutions to the (1+1)-dimensional KdV equation. Some exact travelling wave solutions with parameters have been obtained, which cover the existing solutions. Compared to other methods, the presented method is more direct, more concise, more effective, and easier for calculations. In addition, it can be used to solve other nonlinear evolution equations in mathematical physics.

Cite this article

PANG Jing;BIAN Chun-Quan;CHAO Lu . A new auxiliary equation method for finding travelling wave solutions to KdV equation[J]. Applied Mathematics and Mechanics, 2010 , 31(7) : 929 -936 . DOI: 10.1007/s10483-010-1327-z

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