Symbolic Computation and Construction of Soliton-Like Solutions to the (2+1)-Dimensional Breaking Soliton Equation

Yong Chen; Biao Li; Hong Qing Zhang

doi:10.1088/0253-6102/40/2/137

Symbolic Computation and Construction of Soliton-Like Solutions to the (2+1)-Dimensional Breaking Soliton Equation

Yong Chen^*
, Biao Li
, Hong Qing Zhang

^*Corresponding author for this work

Dalian University of Technology

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

79 Scopus citations

Abstract

Based on the computerized symbolic system Maple, a new generalized expansion method of Riccati equation for constructing non-travelling wave and coefficient functions' soliton-like solutions is presented by a new general ansätz. Making use of the method, we consider the (2+1)-dimensional breaking soliton equation, u_t + bu_xxy + 4buv_x + 4bu_xv = 0, u_y = v_x, and obtain rich new families of the exact solutions of the breaking soliton equation, including the non-travelling wave and constant function soliton-like solutions, singular soliton-like solutions, and triangular function solutions.

Original language	English
Pages (from-to)	137-142
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	40
Issue number	2
DOIs	https://doi.org/10.1088/0253-6102/40/2/137
State	Published - 15 Aug 2003
Externally published	Yes

Keywords

Breaking soliton equation
Generalized expansion method of Riccati equation
Soliton-like solutions
Solitons
Symbolic computation

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10.1088/0253-6102/40/2/137

Cite this

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title = "Symbolic Computation and Construction of Soliton-Like Solutions to the (2+1)-Dimensional Breaking Soliton Equation",

abstract = "Based on the computerized symbolic system Maple, a new generalized expansion method of Riccati equation for constructing non-travelling wave and coefficient functions' soliton-like solutions is presented by a new general ans{\"a}tz. Making use of the method, we consider the (2+1)-dimensional breaking soliton equation, ut + buxxy + 4buvx + 4buxv = 0, uy = vx, and obtain rich new families of the exact solutions of the breaking soliton equation, including the non-travelling wave and constant function soliton-like solutions, singular soliton-like solutions, and triangular function solutions.",

keywords = "Breaking soliton equation, Generalized expansion method of Riccati equation, Soliton-like solutions, Solitons, Symbolic computation",

author = "Yong Chen and Biao Li and Zhang, \{Hong Qing\}",

year = "2003",

month = aug,

day = "15",

doi = "10.1088/0253-6102/40/2/137",

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T1 - Symbolic Computation and Construction of Soliton-Like Solutions to the (2+1)-Dimensional Breaking Soliton Equation

AU - Chen, Yong

AU - Li, Biao

AU - Zhang, Hong Qing

PY - 2003/8/15

Y1 - 2003/8/15

N2 - Based on the computerized symbolic system Maple, a new generalized expansion method of Riccati equation for constructing non-travelling wave and coefficient functions' soliton-like solutions is presented by a new general ansätz. Making use of the method, we consider the (2+1)-dimensional breaking soliton equation, ut + buxxy + 4buvx + 4buxv = 0, uy = vx, and obtain rich new families of the exact solutions of the breaking soliton equation, including the non-travelling wave and constant function soliton-like solutions, singular soliton-like solutions, and triangular function solutions.

AB - Based on the computerized symbolic system Maple, a new generalized expansion method of Riccati equation for constructing non-travelling wave and coefficient functions' soliton-like solutions is presented by a new general ansätz. Making use of the method, we consider the (2+1)-dimensional breaking soliton equation, ut + buxxy + 4buvx + 4buxv = 0, uy = vx, and obtain rich new families of the exact solutions of the breaking soliton equation, including the non-travelling wave and constant function soliton-like solutions, singular soliton-like solutions, and triangular function solutions.

KW - Breaking soliton equation

KW - Generalized expansion method of Riccati equation

KW - Soliton-like solutions

KW - Solitons

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/0242558304

U2 - 10.1088/0253-6102/40/2/137

DO - 10.1088/0253-6102/40/2/137

M3 - 文章

AN - SCOPUS:0242558304

SN - 0253-6102

VL - 40

SP - 137

EP - 142

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 2

ER -

Symbolic Computation and Construction of Soliton-Like Solutions to the (2+1)-Dimensional Breaking Soliton Equation

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Keywords

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