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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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, 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.

Original language	English
Pages (from-to)	983-993
Number of pages	11
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	55
Issue number	6
DOIs	https://doi.org/10.1007/s00033-004-2030-6
State	Published - Nov 2004
Externally published	Yes

Keywords

Exact solution
Extended tanh method
Generalized Hamiltonian amplitude equation
Solitary wave solution

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10.1007/s00033-004-2030-6

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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.",

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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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DO - 10.1007/s00033-004-2030-6

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AN - SCOPUS:11144250787

SN - 0044-2275

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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

Abstract

Keywords

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