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

^*Corresponding author for this work

School of Mathematical Sciences

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

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

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	174-182
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	373
DOIs	https://doi.org/10.1016/j.physa.2005.11.061
State	Published - 1 Jan 2007

Keywords

Bilinear method
Boussinesq equation
Bäcklund transformation
Limiting solution
Soliton

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10.1016/j.physa.2005.11.061

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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",

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

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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

Abstract

Keywords

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