Using symbolic computation to construct travelling wave solutions to nonlinear partial differential equations
Li Wei (李伟)a, Xie Fu-Ding (谢福鼎)b
a Department of Basic Science, Liaoning Technical University, Fuxin 123000, China; b MM Key Laboratory, Academy of Mathematics and System Sciences, Chinese Academy of Science, Beijing 100080, China
Abstract Based upon the symbolic computation and the coupled projective Riccati equation, the tanh function method is further improved. As its applications, Wu－Zhang equation (which describes a (2+1)-dimensional dispersive long wave) and the (1+1)-dimensional dispersive long wave equation obtained from Wu－Zhang equation by scaling transformation and symmetry reduction are chosen to illustrate the validity of the proposed approach.
Received: 27 October 2003
Revised: 31 May 2004
Accepted manuscript online:
(Ordinary and partial differential equations; boundary value problems)
Fund: Project supported by the State Key Programme of Basic Research of China (Grant No G1998030600).
Cite this article:
Li Wei (李伟), Xie Fu-Ding (谢福鼎) Using symbolic computation to construct travelling wave solutions to nonlinear partial differential equations 2004 Chinese Physics 13 1639
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