ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS (II): AN EXAMPLE OF GCKdV EQUATIONS

被引：32

作者：

Li, Jibin ^{[1
]}

Zhang, Yi ^{[2
]}

Zhao, Xiaohua ^{[2
]}

机构：

[1] Kunming Univ Sci & Technol, Kunming 200062, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2009年 / 19卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Solitary wave solution; periodic wave solution; kink and anti-kink wave solutions; breaking wave solution; soliton equation; PETVIASHVILI EQUATION; KDV; HIERARCHY;

D O I：

10.1142/S021812740902386X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the method of dynamical systems, we continuously study the dynamical behavior for the first class of singular nonlinear traveling wave systems. As an example, the traveling wave solutions for a generalized coupled KdV equations are discussed. Exact explicit parametric representations of solitary wave solutions, periodic wave solutions and kink wave solutions are given.

引用

页码：1995 / 2007

页数：13

共 9 条

[1]

BYRD PF, 1977, HDB ELLIPTIC INTEGRA

[2] Relation between the Kadometsev-Petviashvili equation and the confocal involutive system [J].

Cao, CW ;

Wu, YT ;

Geng, XG .

JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (08) :3948-3970

[3]

CAO CW, 1990, J PHYS A-MATH GEN, V23, P4117, DOI 10.1088/0305-4470/23/18/017

[4] Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation [J].

Geng, XG ;

Wu, YT ;

Cao, CW .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (20) :3733-3742

[5]

Li J., 2007, STUDY SINGULAR NONLI

[6] On a class of singular nonlinear traveling wave equations [J].

Li, Jibin ;

Chen, Guanrong .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (11) :4049-4065

[7] Traveling waves for an integrable higher order KdV type wave equations [J].

Li, Jibin ;

Wu, Jianhong ;

Zhu, Huaiping .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (08) :2235-2260

[8] Lax matrix and a generalized coupled KdV hierarchy [J].

Li, XM ;

Geng, XG .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 327 (3-4) :357-370

[9] Darboux transformation of generalized coupled KdV soliton equation and its odd-soliton solutions [J].

Liu Ping .

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2008, 29 (03) :399-407

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