The exact solution to Boussinesq equation through a limiting procedure

Yi Zhang; Deng yuan Chen; Zhi bin Li

doi:10.1016/j.physa.2005.11.061

The exact solution to Boussinesq equation through a limiting procedure

Yi Zhang^*
, Deng yuan Chen
, Zhi bin Li

^*此作品的通讯作者

数学科学学院

Zhejiang Normal University
East China Normal University
CAS - Institute of Computational Mathematics and Scientific-Engineering Computing
Shanghai University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

It is shown that if a new bilinear Bäcklund transformation to Boussinesq equation has been reduced by the gauge transformation, it always has another set of new N-soliton solution by performing an appropriate limiting procedure on the already known ones.

源语言	英语
页（从-至）	174-182
页数	9
期刊	Physica A: Statistical Mechanics and its Applications
卷	373
DOI	https://doi.org/10.1016/j.physa.2005.11.061
出版状态	已出版 - 1 1月 2007

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10.1016/j.physa.2005.11.061

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@article{668a2d7beba742b48f3d22a286fdc42e,

title = "The exact solution to Boussinesq equation through a limiting procedure",

abstract = "It is shown that if a new bilinear B{\"a}cklund transformation to Boussinesq equation has been reduced by the gauge transformation, it always has another set of new N-soliton solution by performing an appropriate limiting procedure on the already known ones.",

keywords = "Bilinear method, Boussinesq equation, B{\"a}cklund transformation, Limiting solution, Soliton",

author = "Yi Zhang and Chen, \{Deng yuan\} and Li, \{Zhi bin\}",

year = "2007",

month = jan,

day = "1",

doi = "10.1016/j.physa.2005.11.061",

language = "英语",

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T1 - The exact solution to Boussinesq equation through a limiting procedure

AU - Zhang, Yi

AU - Chen, Deng yuan

AU - Li, Zhi bin

PY - 2007/1/1

Y1 - 2007/1/1

N2 - It is shown that if a new bilinear Bäcklund transformation to Boussinesq equation has been reduced by the gauge transformation, it always has another set of new N-soliton solution by performing an appropriate limiting procedure on the already known ones.

AB - It is shown that if a new bilinear Bäcklund transformation to Boussinesq equation has been reduced by the gauge transformation, it always has another set of new N-soliton solution by performing an appropriate limiting procedure on the already known ones.

KW - Bilinear method

KW - Boussinesq equation

KW - Bäcklund transformation

KW - Limiting solution

KW - Soliton

UR - https://www.scopus.com/pages/publications/33750433529

U2 - 10.1016/j.physa.2005.11.061

DO - 10.1016/j.physa.2005.11.061

M3 - 文章

AN - SCOPUS:33750433529

SN - 0378-4371

VL - 373

SP - 174

EP - 182

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

The exact solution to Boussinesq equation through a limiting procedure

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