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.
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页码：983 / 993
页数：11
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