Explicit exact solutions for a new generalized Hamiltonian amplitude equation with nonlinear terms of any order

被引：7

作者：

Chen, Y ^{[1
]}

Li, B

Zhang, HQ

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China

[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2004年 / 55卷 / 06期

关键词：

generalized Hamiltonian amplitude equation; extended tanh method; exact solution; solitary wave solution;

D O I：

10.1007/s00033-004-2030-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Making use of a proper transformation and a generalized ansatz, we consider a new generalized Hamiltonian amplitude equation with nonlinear terms of any order, iu(x) + u(tt) + (alpha|u|(p) + beta|u|(2p)) u + deltau(xt) = 0. As a result, many explicit exact solutions, which include kink-shaped soliton solutions, bell-shaped soliton solutions, periodic wave solutions, the combined formal solitary wave solutions and rational solutions, are obtained.

引用

页码：983 / 993

页数：11

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