New periodic solutions to a generalized Hirota-Satsuma coupled KdV system

被引：0

作者：

Yan, QY ^{[1
]}

Zhang, YF

Wei, XP

机构：

[1] Dalian Univ, Ctr Adv Design Technol, Dalian 116622, Peoples R China

[2] Dalian Univ Technol, Sch Mech Engn, Dalian 116024, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China

[4] Shanghai Univ Sci & Technol, Sch Informat Sci & Engn, Tai An 271019, Peoples R China

来源：

CHINESE PHYSICS | 2003年 / 12卷 / 02期

关键词：

periodic solution; Hirota-Satsuma coupled KdV system; Jacobi elliptic function;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using expansions in terms of the Jacobi elliptic cosine function and third Jacobi elliptic function, some new periodic solutions to the generalized Hirota-Satsuma coupled KdV system are obtained with the help of the algorithm Mathematica. These periodic solutions are also reduced to the bell-shaped solitary wave solutions and kink-shape solitary solutions. As special cases, we obtain new periodic solution, bell-shaped and kink-shaped solitary solutions to the well-known Hirota-Satsuma equations.

引用

页码：131 / 135

页数：5

共 12 条

[1] A note on the homogeneous balance method [J].

Fan, EG ;

Zhang, HQ .

PHYSICS LETTERS A, 1998, 246 (05) :403-406

[2] Double periodic solutions with Jacobi elliptic functions for two generalized Hirota-Satsuma coupled KdV systems [J].

Fan, EG ;

Hon, BYC .

PHYSICS LETTERS A, 2002, 292 (06) :335-337

[3] Note on solving solitary wave solution by the hyperbolic function method [J].

Guo, GP ;

Zhang, JF .

ACTA PHYSICA SINICA, 2002, 51 (06) :1159-1162

[4] The envelope periodic solutions to nonlinear wave equations with Jacobi elliptic function [J].

Liu, SD ;

Fu, ZT ;

Liu, SK ;

Zhao, Q .

ACTA PHYSICA SINICA, 2002, 51 (04) :718-722

[5] Jacobi elliptic function expansion solution to the variable coefficient nonlinear equations [J].

Liu, SK ;

Fu, ZT ;

Liu, SD ;

Zhao, Q .

ACTA PHYSICA SINICA, 2002, 51 (09) :1923-1926

[6] New periodic solutions to a kind of nonlinear wave equations [J].

Liu, SK ;

Fu, ZT ;

Liu, SD ;

Zhao, Q .

ACTA PHYSICA SINICA, 2002, 51 (01) :10-14

[7]

Wang ML., 1999, J. Lanzhou Univ. Nat. Sci, V35, P8

[8] New explicit and exact travelling wave solutions for a compound KdV-Burgers equation [J].

Xia, TC ;

Zhang, HQ ;

Yan, ZY .

CHINESE PHYSICS, 2001, 10 (08) :694-697

[9] Solitary wave solutions of a nonlinear evolution equation using mixed exponential method [J].

Xu, GQ ;

Li, ZB .

ACTA PHYSICA SINICA, 2002, 51 (05) :946-950

[10]

ZHANG JD, 1998, ACTA PHYS SINICA, V47, P1057

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