1-Soliton solution of the coupled KdV equation and Gear-Grimshaw model

被引：42

作者：

Biswas, Anjan ^{[1
]}

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

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, Dept Math, Coll Sci, Jeddah 21589, Saudi Arabia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 12期

关键词：

Solitons; Integrability; Conserved quantities; SOLITONS; DYNAMICS; SYSTEM;

D O I：

10.1016/j.amc.2010.05.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper carries out the integration of the coupled KdV equation with power law nonlinearity. The solitary wave ansatz is used to carry out the integration. The domain restrictions of the coefficients of nonlinear and dispersion terms fall out. The results are then supplemented by numerical simulations. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3662 / 3670

页数：9

共 10 条

[1] Adiabatic parameter dynamics of perturbed solitary waves [J].

Antonova, Mariana ;

Biswas, Anjan .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (03) :734-748

[2] Coupled system of Korteweg-de Vries equations type in domains with moving boundaries [J].

Bisognin, Eleni ;

Bisognin, Vanilde ;

Sepulveda, Mauricio ;

Vera, Octavio .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 220 (1-2) :290-321

[3] SOLITONS IN A SYSTEM OF COUPLED KORTEWEG-DEVRIES EQUATIONS [J].

KIVSHAR, YS ;

MALOMED, BA .

WAVE MOTION, 1989, 11 (03) :261-269

[4] DYNAMICS OF SOLITONS IN NEARLY INTEGRABLE SYSTEMS [J].

KIVSHAR, YS ;

MALOMED, BA .

REVIEWS OF MODERN PHYSICS, 1989, 61 (04) :763-915

[5] 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

[6] Solitary wave solutions for a coupled pair of mKdV equations [J].

Triki, H. ;

Ismail, M. S. .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) :1540-1548

[7] The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations [J].

Wazwaz, Abdul-Majid .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 184 (02) :1002-1014

[8] A modified tanh-coth method for solving the KdV and the KdV-Burgers' equations [J].

Wazzan, Luwai .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (02) :443-450

[9]

Xiao-Yan T., 2006, CHINESE PHYS LETT, V23, P887

[10]

Zhang H., 2009, COMMUNICATIONS NONLI, V12, P1120

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