Symbolic computation and new families of solitary wave solutions to a Hamiltonian amplitude equation

被引：3

作者：

Yan, ZY ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2002年 / 53卷 / 03期

关键词：

Hamiltonian amplitude equation; symbolic computation; exact solution; solitary wave solution;

D O I：

10.1007/s00033-002-8166-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, new families of solitary wave solutions are found for a Hamiltonian amplitude equation by using a simple transformation and symbolic computation. These solutions include kink-shaped soliton solutions, bell-shaped soliton solutions and the newly combined kink-shaped and bell-shaped soliton solutions that are of important significance in explaining some physical phenomena.

引用

页码：533 / 537

页数：5

共 12 条

[1]

Ablowitz MJ., 1991, Nonlinear Evolution Equations and Inverse Scattering, DOI 10.1017/CBO9780511623998

[2]

Bluman G. W., 1989, Symmetries and Differential Equations

[3]

Gu C.H., 1990, Soliton Theory and its Application

[4] NEW EXPLICIT EXACT SOLITARY WAVE SOLUTIONS FOR A NEW HAMILTONIAN AMPLITUDE EQUATION [J].

KONG, DX ;

ZHANG, WG .

PHYSICS LETTERS A, 1994, 190 (02) :155-158

[5]

Olver PJ, 1986, APPL LIE GROUPS DIFF

[6] New families of exact solutions to the integrable dispersive long wave equations in (2+1)-dimensional spaces [J].

Tian, B ;

Gao, YT .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (11) :2895-2903

[7] A NEW HAMILTONIAN AMPLITUDE EQUATION GOVERNING MODULATED WAVE INSTABILITIES [J].

WADATI, M ;

SEGUR, H ;

ABLOWITZ, MJ .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1992, 61 (04) :1187-1193

[8]

WU WJ, 1986, KEXUE TONGBAO, V31, P1

[9] A simple transformation for nonlinear waves [J].

Yan, CT .

PHYSICS LETTERS A, 1996, 224 (1-2) :77-84

[10] New explicit and travelling wave solutions for a class of nonlinear evolution equations [J].

Yan, ZY ;

Zhang, HQ ;

Fan, EG .

ACTA PHYSICA SINICA, 1999, 48 (01) :1-5

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