Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations

被引：32

作者：

Huang, DJ ^{[1
]}

Zhang, HQ ^{[1
]}

机构：

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

来源：

ACTA PHYSICA SINICA | 2004年 / 53卷 / 08期

关键词：

extended hyperbolic function method; Zakharov equations; solitary wave solutions; exact solutions;

D O I：

10.7498/aps.53.2429

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With the aid of symbolic computation system Maple and by using the extended hyperbolic function method, the exact solitary wave solutions of Zakharov equations are obtained which include bell-shaped soliton solutions, kink-shaped soliton solutions, envelop soliton solutions, singular soliton solutions and a new type of soliton solutions. The method can be also used to solve other nonlinear wave equations.

引用

页码：2434 / 2438

页数：5

共 31 条

[1]

Ablowitz M A., 1991, Solitons, nonlinear evolution equations and inverse scattering, DOI DOI 10.1017/CBO9780511623998

[2] Extended tanh-function method and its applications to nonlinear equations [J].

Fan, EG .

PHYSICS LETTERS A, 2000, 277 (4-5) :212-218

[3]

FAN EG, 2000, ACTA PHYS SINICA, V49, P1049

[4]

FAN EG, 1998, ACTA PHYS SINICA, V47, P353

[5]

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

[6] Note on solving solitary wave solution by the hyperbolic function method [J].

Guo, GP ;

Zhang, JF .

ACTA PHYSICA SINICA, 2002, 51 (06) :1159-1162

[7] EXACT SOLUTION OF KORTEWEG-DE VRIES EQUATION FOR MULTIPLE COLLISIONS OF SOLITONS [J].

HIROTA, R .

PHYSICAL REVIEW LETTERS, 1971, 27 (18) :1192-+

[8] Improved tanh-function method and the new exact solutions for the general variable coefficient KdV equation and MKdV equation [J].

Li, DS ;

Zhang, HQ .

ACTA PHYSICA SINICA, 2003, 52 (07) :1569-1573

[9] Explicit exact solutions to nonlinear coupled differential equations [J].

Li, ZB ;

Yao, RX .

ACTA PHYSICA SINICA, 2001, 50 (11) :2062-2067

[10] Exact solitary wave and soliton solutions of the generalized fifth order KdV equation [J].

Li, ZB ;

Pan, SQ .

ACTA PHYSICA SINICA, 2001, 50 (03) :402-405

← 1 2 3 4 →