Symbolic computation and construction of soliton-like solutions to the (2 + 1)-dimensional dispersive long-wave equations

Yong Chen; Biao Li

doi:10.1016/j.ijengsci.2003.06.002

Symbolic computation and construction of soliton-like solutions to the (2 + 1)-dimensional dispersive long-wave equations

Yong Chen^*
, Biao Li

^*Corresponding author for this work

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

8 Scopus citations

Abstract

By means of a new Riccati equation expansion method, we consider the (2+1)-dimensional dispersive long-wave equations u_yt + η _xx + 12(u²)_xy = 0, η_t + (uη+u + u_xy)_x = 0. As a result, we not only can successfully recover the previously known formal solutions obtained by known tanh function methods but also construct new and more general formal solutions. The solutions obtained include the nontravelling wave and coefficient functions' soliton-like solutions, singular soliton-like solutions, triangular functions solutions.

Original language	English
Pages (from-to)	715-724
Number of pages	10
Journal	International Journal of Engineering Science
Volume	42
Issue number	7
DOIs	https://doi.org/10.1016/j.ijengsci.2003.06.002
State	Published - Apr 2004
Externally published	Yes

Keywords

(2 + 1)-dimensional dispersive long-wave equation: soliton-like solutions
Generalized Riccati equation expansion method
Solitons
Symbolic computation

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10.1016/j.ijengsci.2003.06.002

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title = "Symbolic computation and construction of soliton-like solutions to the (2 + 1)-dimensional dispersive long-wave equations",

abstract = "By means of a new Riccati equation expansion method, we consider the (2+1)-dimensional dispersive long-wave equations uyt + η xx + 12(u2)xy = 0, ηt + (uη+u + uxy)x = 0. As a result, we not only can successfully recover the previously known formal solutions obtained by known tanh function methods but also construct new and more general formal solutions. The solutions obtained include the nontravelling wave and coefficient functions' soliton-like solutions, singular soliton-like solutions, triangular functions solutions.",

keywords = "(2 + 1)-dimensional dispersive long-wave equation: soliton-like solutions, Generalized Riccati equation expansion method, Solitons, Symbolic computation",

author = "Yong Chen and Biao Li",

year = "2004",

month = apr,

doi = "10.1016/j.ijengsci.2003.06.002",

language = "英语",

volume = "42",

pages = "715--724",

journal = "International Journal of Engineering Science",

issn = "0020-7225",

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TY - JOUR

T1 - Symbolic computation and construction of soliton-like solutions to the (2 + 1)-dimensional dispersive long-wave equations

AU - Chen, Yong

AU - Li, Biao

PY - 2004/4

Y1 - 2004/4

N2 - By means of a new Riccati equation expansion method, we consider the (2+1)-dimensional dispersive long-wave equations uyt + η xx + 12(u2)xy = 0, ηt + (uη+u + uxy)x = 0. As a result, we not only can successfully recover the previously known formal solutions obtained by known tanh function methods but also construct new and more general formal solutions. The solutions obtained include the nontravelling wave and coefficient functions' soliton-like solutions, singular soliton-like solutions, triangular functions solutions.

AB - By means of a new Riccati equation expansion method, we consider the (2+1)-dimensional dispersive long-wave equations uyt + η xx + 12(u2)xy = 0, ηt + (uη+u + uxy)x = 0. As a result, we not only can successfully recover the previously known formal solutions obtained by known tanh function methods but also construct new and more general formal solutions. The solutions obtained include the nontravelling wave and coefficient functions' soliton-like solutions, singular soliton-like solutions, triangular functions solutions.

KW - (2 + 1)-dimensional dispersive long-wave equation: soliton-like solutions

KW - Generalized Riccati equation expansion method

KW - Solitons

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/1242285571

U2 - 10.1016/j.ijengsci.2003.06.002

DO - 10.1016/j.ijengsci.2003.06.002

M3 - 文章

AN - SCOPUS:1242285571

SN - 0020-7225

VL - 42

SP - 715

EP - 724

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

IS - 7

ER -

Symbolic computation and construction of soliton-like solutions to the (2 + 1)-dimensional dispersive long-wave equations

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Keywords

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