Integrable properties for a generalized non-isospectral and variable-coefficient Korteweg-de Vries model

Xiao Ge Xu; Xiang Hua Meng; Fu Wei Sun; Yi Tian Gao

doi:10.1142/S0217984910022949

Integrable properties for a generalized non-isospectral and variable-coefficient Korteweg-de Vries model

Xiao Ge Xu^*
, Xiang Hua Meng
, Fu Wei Sun
, Yi Tian Gao

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beijing Information Science & Technology University
North China University of Technology
Beihang University

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

2 Scopus citations

Abstract

Applicable in fluid dynamics and plasmas, a generalized variable-coefficient Kortewegde Vries (vcKdV) equation is investigated analytically employing the Hirota bilinear method in this paper. The bilinear form for such a model is derived through a dependent variable transformation. Based on the bilinear form, the integrable properties such as the N-solitonic solution, the Bäcklund transformation and the Lax pair for the vcKdV equation are obtained. Additionally, it is shown that the bilinear Bäcklund transformation can turn into the one denoted in the original variables.

Original language	English
Pages (from-to)	1023-1032
Number of pages	10
Journal	Modern Physics Letters B
Volume	24
Issue number	10
DOIs	https://doi.org/10.1142/S0217984910022949
State	Published - 20 Apr 2010

Keywords

Bäcklund transformation
Generalized non-isospectral and variable-coefficient Kortewegde Vries equation
Hirota bilinear method
Lax pair
Solitonic solution

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title = "Integrable properties for a generalized non-isospectral and variable-coefficient Korteweg-de Vries model",

abstract = "Applicable in fluid dynamics and plasmas, a generalized variable-coefficient Kortewegde Vries (vcKdV) equation is investigated analytically employing the Hirota bilinear method in this paper. The bilinear form for such a model is derived through a dependent variable transformation. Based on the bilinear form, the integrable properties such as the N-solitonic solution, the B{\"a}cklund transformation and the Lax pair for the vcKdV equation are obtained. Additionally, it is shown that the bilinear B{\"a}cklund transformation can turn into the one denoted in the original variables.",

keywords = "B{\"a}cklund transformation, Generalized non-isospectral and variable-coefficient Kortewegde Vries equation, Hirota bilinear method, Lax pair, Solitonic solution",

author = "Xu, \{Xiao Ge\} and Meng, \{Xiang Hua\} and Sun, \{Fu Wei\} and Gao, \{Yi Tian\}",

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T1 - Integrable properties for a generalized non-isospectral and variable-coefficient Korteweg-de Vries model

AU - Xu, Xiao Ge

AU - Meng, Xiang Hua

AU - Sun, Fu Wei

AU - Gao, Yi Tian

PY - 2010/4/20

Y1 - 2010/4/20

N2 - Applicable in fluid dynamics and plasmas, a generalized variable-coefficient Kortewegde Vries (vcKdV) equation is investigated analytically employing the Hirota bilinear method in this paper. The bilinear form for such a model is derived through a dependent variable transformation. Based on the bilinear form, the integrable properties such as the N-solitonic solution, the Bäcklund transformation and the Lax pair for the vcKdV equation are obtained. Additionally, it is shown that the bilinear Bäcklund transformation can turn into the one denoted in the original variables.

AB - Applicable in fluid dynamics and plasmas, a generalized variable-coefficient Kortewegde Vries (vcKdV) equation is investigated analytically employing the Hirota bilinear method in this paper. The bilinear form for such a model is derived through a dependent variable transformation. Based on the bilinear form, the integrable properties such as the N-solitonic solution, the Bäcklund transformation and the Lax pair for the vcKdV equation are obtained. Additionally, it is shown that the bilinear Bäcklund transformation can turn into the one denoted in the original variables.

KW - Bäcklund transformation

KW - Generalized non-isospectral and variable-coefficient Kortewegde Vries equation

KW - Hirota bilinear method

KW - Lax pair

KW - Solitonic solution

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DO - 10.1142/S0217984910022949

M3 - 文章

AN - SCOPUS:77951690532

SN - 0217-9849

VL - 24

SP - 1023

EP - 1032

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 10

ER -

Integrable properties for a generalized non-isospectral and variable-coefficient Korteweg-de Vries model

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Keywords

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