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Original Articles

New generalized method to construct new non-travelling wave solutions and travelling wave solutions of K–D equations

, , &
Pages 1413-1429 | Received 09 Jan 2007, Accepted 11 Jun 2007, Published online: 20 Aug 2008
 

Abstract

With the aid of computerized symbolic computation, we obtain new types of general solution of a first-order nonlinear ordinary differential equation with six degrees of freedom and devise a new generalized method and its algorithm, which can be used to construct more new exact solutions of general nonlinear differential equations. The (2+1)-dimensional K–D equation is chosen to illustrate our algorithm such that more families of new exact solutions are obtained, which contain non-travelling wave solutions and travelling wave solutions.

2000 AMS Subject Classification :

Acknowledgements

The authors thank the referee for his/her valuable suggestions. This work has been supported partially by a National Key Basic Research Project of China (2004 CB 318000).

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