Deformed Korteweg-de Vries equation with symbolic computation

Yi Tian Gao; Bo Tian

doi:10.1142/S012918310100270X

Deformed Korteweg-de Vries equation with symbolic computation

Yi Tian Gao
, Bo Tian^*

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beihang University

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

3 Scopus citations

Abstract

The Korteweg-de Vries-typed equations are the most important class of nonlinear evolution equations, with numerous applications in physical and engineering sciences. In this paper, for the deformed Korteweg-de Vries equation of the form w_t = w_xxx + 6w²w_x + D_x{((3/2)ε²ww_x²)/(1 - ε²w²)}, we make use of computerized symbolic computation and obtain several families of new exact analytic solutions, some of which are solitonic.

Original language	English
Pages (from-to)	1335-1344
Number of pages	10
Journal	International Journal of Modern Physics C
Volume	12
Issue number	9
DOIs	https://doi.org/10.1142/S012918310100270X
State	Published - Nov 2001

Keywords

Algorithm
Computerized symbolic computation
Deformed Korteweg-de Vries equation
Exact analytic solutions
Generalized hyperbolic-function method
Nonlinear evolution equations
Solitonic solutions

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10.1142/S012918310100270X

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title = "Deformed Korteweg-de Vries equation with symbolic computation",

abstract = "The Korteweg-de Vries-typed equations are the most important class of nonlinear evolution equations, with numerous applications in physical and engineering sciences. In this paper, for the deformed Korteweg-de Vries equation of the form wt = wxxx + 6w2wx + Dx\{((3/2)ε2wwx2)/(1 - ε2w2)\}, we make use of computerized symbolic computation and obtain several families of new exact analytic solutions, some of which are solitonic.",

keywords = "Algorithm, Computerized symbolic computation, Deformed Korteweg-de Vries equation, Exact analytic solutions, Generalized hyperbolic-function method, Nonlinear evolution equations, Solitonic solutions",

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

year = "2001",

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AU - Tian, Bo

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N2 - The Korteweg-de Vries-typed equations are the most important class of nonlinear evolution equations, with numerous applications in physical and engineering sciences. In this paper, for the deformed Korteweg-de Vries equation of the form wt = wxxx + 6w2wx + Dx{((3/2)ε2wwx2)/(1 - ε2w2)}, we make use of computerized symbolic computation and obtain several families of new exact analytic solutions, some of which are solitonic.

AB - The Korteweg-de Vries-typed equations are the most important class of nonlinear evolution equations, with numerous applications in physical and engineering sciences. In this paper, for the deformed Korteweg-de Vries equation of the form wt = wxxx + 6w2wx + Dx{((3/2)ε2wwx2)/(1 - ε2w2)}, we make use of computerized symbolic computation and obtain several families of new exact analytic solutions, some of which are solitonic.

KW - Algorithm

KW - Computerized symbolic computation

KW - Deformed Korteweg-de Vries equation

KW - Exact analytic solutions

KW - Generalized hyperbolic-function method

KW - Nonlinear evolution equations

KW - Solitonic solutions

UR - https://www.scopus.com/pages/publications/0035729230

U2 - 10.1142/S012918310100270X

DO - 10.1142/S012918310100270X

M3 - 文章

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SN - 0129-1831

VL - 12

SP - 1335

EP - 1344

JO - International Journal of Modern Physics C

JF - International Journal of Modern Physics C

IS - 9

ER -

Deformed Korteweg-de Vries equation with symbolic computation

Abstract

Keywords

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