Abundant new exact solutions for the (3+1)-dimensional Jimbo-Miwa equation

被引：25

作者：

Li, Zitian ^{[1
]}

Dai, Zhengde ^{[2
]}

机构：

[1] Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China

[2] Yunnan Univ, Sch Math & Stat, Kunming 650091, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 361卷 / 02期

基金：

美国国家科学基金会;

关键词：

Jimbo-Miwa equation; The generalized Riccati equation mapping method; Periodic wave; Soliton; WAVE SOLUTIONS;

D O I：

10.1016/j.jmaa.2009.07.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the generalized Riccati equation mapping method, and picking up its new solutions authors obtain abundant new exact solutions including kink solutions, periodic form solutions, soliton-like solutions and rational solutions to a (3 + 1)-dimensional Jimbo-Miwa equation, respectively. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：587 / 590

页数：4

共 12 条

[1]

Ablowitz M J., 1990, Solitons, Nonlinear Evolution Equations and Inverse Scattering Transform

[2] Exact cross kink-wave solutions and resonance for the Jimbo-Miwa equation [J].

Dai, Zhengde ;

Li, Zitian ;

Liu, Zhenjiang ;

Li, Donglong .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 384 (02) :285-290

[3] Extended tanh-function method and its applications to nonlinear equations [J].

Fan, EG .

PHYSICS LETTERS A, 2000, 277 (4-5) :212-218

[4] SOLITONS AND INFINITE DIMENSIONAL LIE-ALGEBRAS [J].

JIMBO, M ;

MIWA, T .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1983, 19 (03) :943-1001

[5]

LV ZS, 2003, PHYS LETT A, V307, P269

[6] SOLITARY WAVE SOLUTIONS OF NONLINEAR-WAVE EQUATIONS [J].

MALFLIET, W .

AMERICAN JOURNAL OF PHYSICS, 1992, 60 (07) :650-654

[7] The tanh method .2. Perturbation technique for conservative systems [J].

Malfliet, W ;

Hereman, W .

PHYSICA SCRIPTA, 1996, 54 (06) :569-575

[8] On the extended applications of Homogenous Balance Method [J].

Senthilvelan, M .

APPLIED MATHEMATICS AND COMPUTATION, 2001, 123 (03) :381-388

[9] A Backlund transformation and the inverse scattering transform method for the generalised Vakhnenko equation [J].

Vakhnenko, VO ;

Parkes, EJ ;

Morrison, AJ .

CHAOS SOLITONS & FRACTALS, 2003, 17 (04) :683-692

[10] Two reliable methods for solving variants of the KdV equation with compact and noncompact structures [J].

Wazwaz, AM .

CHAOS SOLITONS & FRACTALS, 2006, 28 (02) :454-462

← 1 2 →