The Study of the Solution to a Generalized KdV-mKdV Equation

被引：2

作者：

Lv, Xiumei ^{[1
]}

Shao, Tengwei ^{[1
]}

Chen, Jiacheng ^{[2
]}

机构：

[1] Chongqing Technol & Business Univ, Sch Finance, Chongqing 400067, Peoples R China

[2] Southwestern Univ Finance & Econ, Sch Finance, Chengdu 611130, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

WAVE SOLUTIONS; N);

D O I：

10.1155/2013/249043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mathematical technique based on an auxiliary equation and the symbolic computation system Matlab is employed to investigate a generalized KdV-mKdV equation which possesses high-order nonlinear terms. Some new solutions including the Jacobi elliptic function solutions, the degenerated soliton-like solutions, and the triangle function solutions to the equation are obtained.

引用

页数：17

共 17 条

[1] New exact solutions for modified nonlinear dispersive equations mK(m, n) in higher dimensions spaces [J].

Chen, Y ;

Li, B ;

Zhang, HQ .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 64 (05) :549-559

[2] New exact solutions to a system of coupled KdV equations [J].

Fan, EG ;

Zhang, HQ .

PHYSICS LETTERS A, 1998, 245 (05) :389-392

[3] Periodic Solution of the Hematopoiesis Equation [J].

He, Ji-Huan .

ABSTRACT AND APPLIED ANALYSIS, 2013,

[4]

Lai S. Y., 2011, DYNAM CONT DIS SER B, V18, P647

[5] On exact travelling wave solutions for two types of nonlinear K (n, n) equations and a generalized KP equation [J].

Lai, Shaoyong ;

Wu, Y. H. ;

Wiwatanapataphee, B. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 212 (02) :291-299

[6] The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation [J].

Lai, Shaoyong ;

Wu, Yonghong .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (08) :2038-2063

[7]

Li HM, 2005, CHINESE PHYS, V14, P251, DOI 10.1088/1009-1963/14/2/006

[8] Existence and Iterative Algorithms of Positive Solutions for a Higher Order Nonlinear Neutral Delay Differential Equation [J].

Liu, Zeqing ;

Guan, Ling ;

Lee, Sunhong ;

Kang, Shin Min .

ABSTRACT AND APPLIED ANALYSIS, 2013,

[9] The tanh method .1. Exact solutions of nonlinear evolution and wave equations [J].

Malfliet, W ;

Hereman, W .

PHYSICA SCRIPTA, 1996, 54 (06) :563-568

[10] Exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations [J].

Sirendaoreji .

PHYSICS LETTERS A, 2007, 363 (5-6) :440-447

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