Uniformly constructing a series of nonlinear wave and coefficient functions' soliton solutions and double periodic solutions for the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation

Yong Chen; Qi Wang; Yanghuai Lang

doi:10.1515/zna-2005-0301

Uniformly constructing a series of nonlinear wave and coefficient functions' soliton solutions and double periodic solutions for the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation

Yong Chen^*
, Qi Wang
, Yanghuai Lang

^*Corresponding author for this work

Ningbo University
Shanghai Jiao Tong University
Chinese Academy of Sciences
Dalian University of Technology
Shanghai University of Finance and Economics

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

11 Scopus citations

Abstract

By using a new more general ansatz with the aid of symbolic computation, we extended the unified algebraic method proposed by Fan [Computer Phys. Commun. 153, 17 (2003)] and the improved extended tanh method by Yomba [Chaos, Solitons and Fractals 20, 1135 (2004)] to uniformly construct a series of soliton-like solutions and double-like periodic solutions for nonlinear partial differential equations. The efficiency of the method is demonstrated on the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation.

Original language	English
Pages (from-to)	127-138
Number of pages	12
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	60
Issue number	3
DOIs	https://doi.org/10.1515/zna-2005-0301
State	Published - Mar 2005
Externally published	Yes

Keywords

Generalized Algebraic Method
Periodic Solution
Solitary Wave Solution
Symbolic Computation
Weierstrass and Jacobi Elliptic Functions

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title = "Uniformly constructing a series of nonlinear wave and coefficient functions' soliton solutions and double periodic solutions for the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation",

abstract = "By using a new more general ansatz with the aid of symbolic computation, we extended the unified algebraic method proposed by Fan [Computer Phys. Commun. 153, 17 (2003)] and the improved extended tanh method by Yomba [Chaos, Solitons and Fractals 20, 1135 (2004)] to uniformly construct a series of soliton-like solutions and double-like periodic solutions for nonlinear partial differential equations. The efficiency of the method is demonstrated on the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation.",

keywords = "Generalized Algebraic Method, Periodic Solution, Solitary Wave Solution, Symbolic Computation, Weierstrass and Jacobi Elliptic Functions",

author = "Yong Chen and Qi Wang and Yanghuai Lang",

year = "2005",

month = mar,

doi = "10.1515/zna-2005-0301",

language = "英语",

volume = "60",

pages = "127--138",

journal = "Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences",

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Uniformly constructing a series of nonlinear wave and coefficient functions' soliton solutions and double periodic solutions for the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation. / Chen, Yong; Wang, Qi; Lang, Yanghuai.
In: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, Vol. 60, No. 3, 03.2005, p. 127-138.

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

TY - JOUR

T1 - Uniformly constructing a series of nonlinear wave and coefficient functions' soliton solutions and double periodic solutions for the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation

AU - Chen, Yong

AU - Wang, Qi

AU - Lang, Yanghuai

PY - 2005/3

Y1 - 2005/3

N2 - By using a new more general ansatz with the aid of symbolic computation, we extended the unified algebraic method proposed by Fan [Computer Phys. Commun. 153, 17 (2003)] and the improved extended tanh method by Yomba [Chaos, Solitons and Fractals 20, 1135 (2004)] to uniformly construct a series of soliton-like solutions and double-like periodic solutions for nonlinear partial differential equations. The efficiency of the method is demonstrated on the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation.

AB - By using a new more general ansatz with the aid of symbolic computation, we extended the unified algebraic method proposed by Fan [Computer Phys. Commun. 153, 17 (2003)] and the improved extended tanh method by Yomba [Chaos, Solitons and Fractals 20, 1135 (2004)] to uniformly construct a series of soliton-like solutions and double-like periodic solutions for nonlinear partial differential equations. The efficiency of the method is demonstrated on the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation.

KW - Generalized Algebraic Method

KW - Periodic Solution

KW - Solitary Wave Solution

KW - Symbolic Computation

KW - Weierstrass and Jacobi Elliptic Functions

UR - https://www.scopus.com/pages/publications/17044367070

U2 - 10.1515/zna-2005-0301

DO - 10.1515/zna-2005-0301

M3 - 文章

AN - SCOPUS:17044367070

SN - 0932-0784

VL - 60

SP - 127

EP - 138

JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

IS - 3

ER -

Uniformly constructing a series of nonlinear wave and coefficient functions' soliton solutions and double periodic solutions for the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation

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Keywords

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