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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (7): 929-936.doi: https://doi.org/10.1007/s10483-010-1327-z

• Articles • 上一篇    

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

庞晶1 边春泉1 朝鲁2   

  1. 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
  • 收稿日期:2009-09-17 修回日期:2010-05-05 出版日期:2010-07-01 发布日期:2010-07-01

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

PANG Jing1, BIAN Chun-Quan1, CHAO Lu2   

  1. 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:2009-09-17 Revised:2010-05-05 Online:2010-07-01 Published:2010-07-01

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1121

被引次数

10

摘要： 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.

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.

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