A system of the coupled Korteweg-de Vries equations and computerized symbolic computation

Bo Tian; Yi Tian Gao

doi:10.1142/S0129183101001778

A system of the coupled Korteweg-de Vries equations and computerized symbolic computation

Bo Tian^*
, Yi Tian Gao

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beihang University

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

11 Scopus citations

Abstract

In physical and engineering sciences, the studies of the Korteweg-de Vries (KdV)-typed equations are of crucial significance. Performing computerized symbolic computation, we hereby obtain an auto-Bäcklund transformation for a system of the coupled KdV equations. Sample exact analytic solutions are also presented, which are the rational solutions and solitary waves.

Original language	English
Pages (from-to)	361-366
Number of pages	6
Journal	International Journal of Modern Physics C
Volume	12
Issue number	3
DOIs	https://doi.org/10.1142/S0129183101001778
State	Published - Mar 2001

Keywords

Bäcklund Transformation
Computerized Symbolic Computation
Coupled KdV Equations
Exact Analytic Solutions
Solitary Waves

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10.1142/S0129183101001778

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title = "A system of the coupled Korteweg-de Vries equations and computerized symbolic computation",

abstract = "In physical and engineering sciences, the studies of the Korteweg-de Vries (KdV)-typed equations are of crucial significance. Performing computerized symbolic computation, we hereby obtain an auto-B{\"a}cklund transformation for a system of the coupled KdV equations. Sample exact analytic solutions are also presented, which are the rational solutions and solitary waves.",

keywords = "B{\"a}cklund Transformation, Computerized Symbolic Computation, Coupled KdV Equations, Exact Analytic Solutions, Solitary Waves",

author = "Bo Tian and Gao, \{Yi Tian\}",

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AU - Gao, Yi Tian

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AB - In physical and engineering sciences, the studies of the Korteweg-de Vries (KdV)-typed equations are of crucial significance. Performing computerized symbolic computation, we hereby obtain an auto-Bäcklund transformation for a system of the coupled KdV equations. Sample exact analytic solutions are also presented, which are the rational solutions and solitary waves.

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KW - Computerized Symbolic Computation

KW - Coupled KdV Equations

KW - Exact Analytic Solutions

KW - Solitary Waves

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M3 - 文章

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ER -

A system of the coupled Korteweg-de Vries equations and computerized symbolic computation

Abstract

Keywords

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