ANALYTICAL INVESTIGATION OF THE CAUDREY-DODD-GIBBON-KOTERA-SAWADA EQUATION USING SYMBOLIC COMPUTATION

被引：4

作者：

Xu, Xiao-Ge ^{[1
,2
]}

Meng, Xiang-Hua ^{[1
]}

Zhang, Chun-Yi ^{[3
,4
]}

Gao, Yi-Tian ^{[3
,4
,5
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Beijing 100192, Peoples R China

[2] Beijing Univ Aeronaut & Astronaut, Sch Sci, Beijing 100083, Peoples R China

[3] Beijing Univ Aeronaut & Astronaut, Minist Educ, Key Lab Fluid Mech, Beijing 100083, Peoples R China

[4] Beijing Univ Aeronaut & Astronaut, Natl Lab Computat Fluid Dynam, Beijing 100083, Peoples R China

[5] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100083, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2013年 / 27卷 / 06期

基金：

北京市自然科学基金; 美国国家科学基金会; 中国国家自然科学基金;

关键词：

Hirota bilinear method; CDGKS equation; soliton solutions; Lax pair; nonlinear superposition formula; symbolic computation; NONLINEAR SCHRODINGER MODEL; DE-VRIES EQUATION; BACKLUND TRANSFORMATION; KDV EQUATION; DIFFERENTIAL-EQUATIONS; MULTISOLITON SOLUTION; SOLITON-SOLUTIONS; OPTICAL-FIBERS; DUSTY PLASMA; REDUCTIONS;

D O I：

10.1142/S021797921250124X

中图分类号：

O59 [应用物理学];

学科分类号：

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 Backlund transformation, the Lax pair and the nonlinear superposition formula are also derived for the CDGKS equation.

引用

页数：11

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