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

Yong Chen; Biao Li; Hongqing Zhang

doi:10.1007/s00033-004-2030-6

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

Yong Chen^*
, Biao Li
, Hongqing Zhang

^*此作品的通讯作者

Ningbo University
Dalian University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

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 + (α|u|^p + β|u|^2p)u + δu_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.

源语言	英语
页（从-至）	983-993
页数	11
期刊	Zeitschrift fur Angewandte Mathematik und Physik
卷	55
期	6
DOI	https://doi.org/10.1007/s00033-004-2030-6
出版状态	已出版 - 11月 2004
已对外发布	是

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abstract = "Making use of a proper transformation and a generalized ansatz, we consider a new generalized Hamiltonian amplitude equation with nonlinear terms of any order, iux + utt + (α|u|p + β|u|2p)u + δuxt = 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.",

keywords = "Exact solution, Extended tanh method, Generalized Hamiltonian amplitude equation, Solitary wave solution",

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AU - Chen, Yong

AU - Li, Biao

AU - Zhang, Hongqing

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N2 - Making use of a proper transformation and a generalized ansatz, we consider a new generalized Hamiltonian amplitude equation with nonlinear terms of any order, iux + utt + (α|u|p + β|u|2p)u + δuxt = 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.

AB - Making use of a proper transformation and a generalized ansatz, we consider a new generalized Hamiltonian amplitude equation with nonlinear terms of any order, iux + utt + (α|u|p + β|u|2p)u + δuxt = 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.

KW - Exact solution

KW - Extended tanh method

KW - Generalized Hamiltonian amplitude equation

KW - Solitary wave solution

UR - https://www.scopus.com/pages/publications/11144250787

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JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 6

ER -

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

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