ANALYTICAL SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (5): 614-620.

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ANALYTICAL SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS

胡建兰, 张汉林

Institute of Applied Science, Beijing Polytechnic University, Beijing 100022, P.R.China

收稿日期:2001-11-01 修回日期:2002-11-05 出版日期:2003-05-18 发布日期:2003-05-18

ANALYTICAL SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS

HU Jian-lan, ZHANG Han-lin

Institute of Applied Science, Beijing Polytechnic University, Beijing 100022, P.R.China

Received:2001-11-01 Revised:2002-11-05 Online:2003-05-18 Published:2003-05-18

摘要/Abstract

摘要： The following partial differential equations are studied: generalized fifth-order KdV equation,water wave equation, Kupershmidt equation, couples KdV equation. The analytical solutions to these problems via using various ansatzes by introducing a second-order ordinary differential equation are found out.

中图分类号:

O175
O241.7

胡建兰;张汉林. ANALYTICAL SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5): 614-620.

HU Jian-lan;ZHANG Han-lin. ANALYTICAL SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5): 614-620.

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ANALYTICAL SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS

ANALYTICAL SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS

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