Analytical investigation of the Caudrey-Dodd-Gibbon-Kotera-Sawada equation using symbolic computation

Xiao Ge Xu; Xiang Hua Meng; Chun Yi Zhang; Yi Tian Gao

doi:10.1142/S021797921250124X

Analytical investigation of the Caudrey-Dodd-Gibbon-Kotera-Sawada equation using symbolic computation

Xiao Ge Xu^*
, Xiang Hua Meng
, Chun Yi Zhang
, Yi Tian Gao

^*此作品的通讯作者

航空科学与工程学院

Beijing Information Science & Technology University
Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

In this paper, the Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation is analytically investigated using the Hirota bilinear method. Based on the bilinear form of the CDGKS equation, its N-soliton solution in explicit form is derived with the aid of symbolic computation. Besides the soliton solutions, several integrable properties such as the Bäcklund transformation, the Lax pair and the nonlinear superposition formula are also derived for the CDGKS equation.

源语言	英语
文章编号	1250124
期刊	International Journal of Modern Physics B
卷	27
期	6
DOI	https://doi.org/10.1142/S021797921250124X
出版状态	已出版 - 10 3月 2013

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title = "Analytical investigation of the Caudrey-Dodd-Gibbon-Kotera-Sawada equation using symbolic computation",

abstract = "In this paper, the Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation is analytically investigated using the Hirota bilinear method. Based on the bilinear form of the CDGKS equation, its N-soliton solution in explicit form is derived with the aid of symbolic computation. Besides the soliton solutions, several integrable properties such as the B{\"a}cklund transformation, the Lax pair and the nonlinear superposition formula are also derived for the CDGKS equation.",

keywords = "CDGKS equation, Hirota bilinear method, Lax pair, nonlinear superposition formula, soliton solutions, symbolic computation",

author = "Xu, \{Xiao Ge\} and Meng, \{Xiang Hua\} and Zhang, \{Chun Yi\} and Gao, \{Yi Tian\}",

year = "2013",

month = mar,

day = "10",

doi = "10.1142/S021797921250124X",

language = "英语",

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journal = "International Journal of Modern Physics B",

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T1 - Analytical investigation of the Caudrey-Dodd-Gibbon-Kotera-Sawada equation using symbolic computation

AU - Xu, Xiao Ge

AU - Meng, Xiang Hua

AU - Zhang, Chun Yi

AU - Gao, Yi Tian

PY - 2013/3/10

Y1 - 2013/3/10

N2 - In this paper, the Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation is analytically investigated using the Hirota bilinear method. Based on the bilinear form of the CDGKS equation, its N-soliton solution in explicit form is derived with the aid of symbolic computation. Besides the soliton solutions, several integrable properties such as the Bäcklund transformation, the Lax pair and the nonlinear superposition formula are also derived for the CDGKS equation.

AB - In this paper, the Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation is analytically investigated using the Hirota bilinear method. Based on the bilinear form of the CDGKS equation, its N-soliton solution in explicit form is derived with the aid of symbolic computation. Besides the soliton solutions, several integrable properties such as the Bäcklund transformation, the Lax pair and the nonlinear superposition formula are also derived for the CDGKS equation.

KW - CDGKS equation

KW - Hirota bilinear method

KW - Lax pair

KW - nonlinear superposition formula

KW - soliton solutions

KW - symbolic computation

UR - https://www.scopus.com/pages/publications/84873345746

U2 - 10.1142/S021797921250124X

DO - 10.1142/S021797921250124X

M3 - 文章

AN - SCOPUS:84873345746

SN - 0217-9792

VL - 27

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 6

M1 - 1250124

ER -

Analytical investigation of the Caudrey-Dodd-Gibbon-Kotera-Sawada equation using symbolic computation

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