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物理学报. 2004, 53(1): 11-14.
doi: 10.7498/aps.53.11.
具5次强非线性项的波方程新的孤波解
- 收稿日期: 2002-11-20
- 修回日期: 2003-03-31
- 刊出日期: 2004-01-15
English Abstract
New solitary wave solutions for nonlinear wave equation with fifth-order stronger nonlinear term
- Received Date:
20 November 2002
- Accepted Date:
31 March 2003
- Published Online:
15 January 2004
Abstract: A new function-transformation method is proposed and four kinds of explicit exact solitary wave solutions of the Lienard equation, the generalized PC equation, the important nonlinear wave equation in mechanics, which have a fifth-order stronger nonlinear term, are obtained by a combination of the function-transformation method and the direct integral method. The method proposed in this paper can also be applied to other nonlinear equations with higher-order nonlinear terms.
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