Compact and noncompact structures in a class of nonlinearly dispersive equations

被引：20

作者：

Wazwaz, AM ^{[1
]}

Taha, T

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

[2] Univ Georgia, Dept Comp Sci, Athens, GA 30602 USA

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2003年 / 62卷 / 1-2期

关键词：

compactons; solitons; nonlinear dispersion; solitary patterns;

D O I：

10.1016/S0378-4754(02)00175-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this work, we study compact and noncompact dispersive structures formed by a class of nonlinear dispersive equations. We show that the focusing branches provide compactons solutions: solitons with compact support. We also show that the defocusing branches generate solitary patterns solutions. We test our work for a variety of nonlinear equations with positive and negative exponents. (C) 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：171 / 189

页数：19

共 23 条

[1]

Adomian Adomian G. G., Solving Frontier Problems in Physics. The Decomposition Method

[2] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].

ADOMIAN, G .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 135 (02) :501-544

[3]

[Anonymous], SOLITONS FRACTALS

[4] Particle methods for dispersive equations [J].

Chertock, A ;

Levy, D .

JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 171 (02) :708-730

[5] Compacton solutions in a class of generalized fifth-order Korteweg-de Vries equations [J].

Cooper, F ;

Hyman, JM ;

Khare, A .

PHYSICAL REVIEW E, 2001, 64 (02) :13

[6] Breather compactons in nonlinear Klein-Gordon systems [J].

Dinda, PT ;

Remoissenet, M .

PHYSICAL REVIEW E, 1999, 60 (05) :6218-6221

[7] From kinks to compactonlike kinks [J].

Dusuel, S ;

Michaux, P ;

Remoissenet, M .

PHYSICAL REVIEW E, 1998, 57 (02) :2320-2326

[8] A numerical study of compactons [J].

Ismail, MS ;

Taha, TR .

MATHEMATICS AND COMPUTERS IN SIMULATION, 1998, 47 (06) :519-530

[9]

KIVSHAR Y, 1994, PHYS BIOL, V329, P255

[10] Patterns on liquid surfaces: cnoidal waves, compactons and scaling [J].

Ludu, A ;

Draayer, JP .

PHYSICA D, 1998, 123 (1-4) :82-91

← 1 2 3 →