Travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms

Yong Chen; Biao Li

doi:10.1088/1009-1963/13/3/007

Travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms

Yong Chen^*
, Biao Li

^*此作品的通讯作者

Shanghai Jiao Tong University
Dalian University of Technology
Chinese Academy of Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

17 引用（Scopus）

摘要

Applying the general projective Riccati equations method, we consider the exact travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms using symbolic computation. From our results, we not only can successfully recover some previously known travelling wave solutions found by using various tanh methods, but also can obtain some new formal solutions. The solutions obtained include kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions.

源语言	英语
页（从-至）	302-306
页数	5
期刊	Chinese Physics (Overseas Edition)
卷	13
期	3
DOI	https://doi.org/10.1088/1009-1963/13/3/007
出版状态	已出版 - 1 3月 2004
已对外发布	是

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abstract = "Applying the general projective Riccati equations method, we consider the exact travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms using symbolic computation. From our results, we not only can successfully recover some previously known travelling wave solutions found by using various tanh methods, but also can obtain some new formal solutions. The solutions obtained include kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions.",

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AU - Chen, Yong

AU - Li, Biao

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N2 - Applying the general projective Riccati equations method, we consider the exact travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms using symbolic computation. From our results, we not only can successfully recover some previously known travelling wave solutions found by using various tanh methods, but also can obtain some new formal solutions. The solutions obtained include kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions.

AB - Applying the general projective Riccati equations method, we consider the exact travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms using symbolic computation. From our results, we not only can successfully recover some previously known travelling wave solutions found by using various tanh methods, but also can obtain some new formal solutions. The solutions obtained include kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions.

KW - Generalized symmetric regularized long-wave equation

KW - Projective Riccati equations method

KW - Soliton

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/23244464064

U2 - 10.1088/1009-1963/13/3/007

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Travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms

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