Periodic kink-wave and kinky periodic-wave solutions for the Jimbo-Miwa equation

被引：59

作者：

Dai, Zhengde ^{[1
,2
]}

Liu, Jun ^{[3
]}

Zeng, Xiping ^{[2
]}

Liu, Zhenjiang ^{[3
]}

机构：

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

[2] Guangxi Inst Technol, Dept Informat & Comp Sci, Liuzhou 545005, Peoples R China

[3] Qujing Normal Univ, Dept Math, Qujing 655000, Peoples R China

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 38期

关键词：

periodic kink; soliton; kinky periodic-wave; bilinear form; mechanical feature;

D O I：

10.1016/j.physleta.2008.07.064

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, by using a novel extended homoclinic test approach (EHTA) we obtain two new types of exact periodic solitary-wave and kinky periodic-wave solutions for Jimbo-Miwa equation. Moreover, we investigate the strangely mechanical features of wave solutions. These results enrich the variety of the dynamics of higher-dimensional nonlinear wave field. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：5984 / 5986

页数：3

共 18 条

[1] On the numerical solution of the sine-Gordon equation .1. Integrable discretizations and homoclinic manifolds [J].

Ablowitz, MJ ;

Herbst, BM ;

Schober, C .

JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 126 (02) :299-314

[2]

Dai ZD, 2006, CHINESE PHYS LETT, V23, P1065, DOI 10.1088/0256-307X/23/5/001

[3] Explicit homoclinic tube solutions and chaos for Zakharov system with periodic boundary [J].

Dai, ZD ;

Huang, J ;

Jiang, MR .

PHYSICS LETTERS A, 2006, 352 (4-5) :411-415

[4]

Dai ZD, 2005, CHINESE J PHYS, V43, P349

[5] Exact periodic solitary-wave solution for KdV equation [J].

Dai, Zheng-De ;

Liu, Zhen-Jiang ;

Li, Dong-Long .

CHINESE PHYSICS LETTERS, 2008, 25 (05) :1531-1533

[6]

Dai ZD, 2007, CHINESE PHYS LETT, V24, P1429, DOI 10.1088/0256-307X/24/6/001

[7] 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

[8] Singular periodic soliton solutions and resonance for the Kadomtsev-Petviashvili equation [J].

Dai, Zhengde ;

Li, Shaolin ;

Dai, Qingyun ;

Huang, Jian .

CHAOS SOLITONS & FRACTALS, 2007, 34 (04) :1148-1153

[9]

HIROTA R, 1971, PHYS LETT A, V277, P1192

[10] EXACT-SOLUTIONS FOR SOME COUPLED NONLINEAR EQUATIONS .2. [J].

HUIBIN, L ;

KELIN, W .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (18) :4097-4105

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