1-Soliton solution of the Klein-Gordon-Zakharov equation with power law nonlinearity

被引：29

作者：

Ismail, M. S. ^{[2
]}

Biswas, Anjan ^{[1
]}

机构：

[1] Delaware State Univ, Dept Math Sci, Ctr Res & Educ Opt Sci & Applicat, Appl Math Res Ctr, Dover, DE 19901 USA

[2] King Abdulaziz Univ, Coll Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 08期

关键词：

Solitons; Integrability; Numerical simulations; GLOBAL EXISTENCE; INSTABILITY; WAVE;

D O I：

10.1016/j.amc.2010.10.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper obtains the 1-soliton solution of the Klein-Gordon-Zakharov equation with power law nonlinearity. The solutions are obtained both in (1+1) and (1+2) dimensions. The solitary wave Ansatz method is applied to obtain the solution. The numerical simulations are included that supports the analysis. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：4186 / 4196

页数：11

共 10 条

[1] Non-perturbative solution of the Klein-Gordon-Zakharov equation [J].

Adomian, G .

APPLIED MATHEMATICS AND COMPUTATION, 1997, 81 (01) :89-92

[2] Instability of standing wave, global existence and blowup for the Klein-Gordon-Zakharov system with different-degree nonlinearities [J].

Gan, Zaihui ;

Guo, Boling ;

Zhang, Jian .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (10) :4097-4128

[3] Instability of standing waves for Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions [J].

Gan, ZH ;

Zhang, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 307 (01) :219-231

[4] Seven common errors in finding exact solutions of nonlinear differential equations [J].

Kudryashov, Nikolai A. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (9-10) :3507-3529

[5] New exact traveling wave solutions for the Klein-Gordon-Zakharov equations [J].

Shang, Yadong ;

Huang, Yong ;

Yuan, Wenjun .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) :1441-1450

[6] Global existence of small amplitude solutions for the Klein-Gordon-Zakharov equations [J].

Tsutaya, K .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 27 (12) :1373-1380

[7] Solitary wave propagation and interactions for the Klein-Gordon-Zakharov equations in plasma physics [J].

Wang, Jian .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (08)

[8] Conservative difference methods for the Klein-Gordon-Zakharov equations [J].

Wang, Tingchun ;

Chen, Juan ;

Zhang, Luming .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 205 (01) :430-452

[9]

WAZWAZ AM, 2007, APPL MATH COMPUT, V154, P713

[10]

陈林, 1999, Acta Mathematicae Applicatae Sinica, V15, P54

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