New type of exact solitary wave solutions for dispersive long-wave equation and Benjamin equation

被引：19

作者：

Sirendaoreji ^{[1
]}

Taogetusang ^{[1
]}

机构：

[1] Inner Mongolia Normal Univ, Sch Math Sci, Hohhot 010022, Peoples R China

来源：

ACTA PHYSICA SINICA | 2006年 / 55卷 / 07期

关键词：

new auxiliary equation; dispersive long-wave equation; Benjamin equation; exact solitary wave solution;

D O I：

10.7498/aps.55.3246

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

On the basis of homogeneous balance method, tanh-function method and auxiliary equation method, new types of exact solitary wave solutions of the dispersive long-wave equation and Benjamin equation are constructed by using a new auxiliary equation and with the aid of computer algebraic system Mathematica in this paper. This method also can be used to find new solitary wave solutions of other nonlinear evolution equations.

引用

页码：3246 / 3254

页数：9

共 17 条

[1] Chen Y, 2003, CHINESE PHYS, V12, P1, DOI 10.1088/1009-1963/12/1/301
[2] Modified extended tanh-function method for solving nonlinear partial differential equations
Elwakil, SA
El-labany, SK
Zahran, MA
Sabry, R
[J]. PHYSICS LETTERS A, 2002, 299 (2-3) : 179 - 188
[3] Extended tanh-function method and its applications to nonlinear equations
Fan, EG
[J]. PHYSICS LETTERS A, 2000, 277 (4-5) : 212 - 218
[4] A family of expanding integrable models of AKNS hierarchy of equations
Guo, FK
Zhang, YF
[J]. ACTA PHYSICA SINICA, 2002, 51 (05) : 951 - 954
[5] Li ZS, 2003, COMMUN THEOR PHYS, V39, P405
[6] New periodic solutions to a kind of nonlinear wave equations
Liu, SK
Fu, ZT
Liu, SD
Zhao, Q
[J]. ACTA PHYSICA SINICA, 2002, 51 (01) : 10 - 14
[7] SOLITARY WAVE SOLUTIONS OF NONLINEAR-WAVE EQUATIONS
MALFLIET, W
[J]. AMERICAN JOURNAL OF PHYSICS, 1992, 60 (07) : 650 - 654
[8] A special type of multisoliton solutions for the dispersive long-wave equations and the modified dispersive water-wave equations
Naranmandula
[J]. ACTA PHYSICA SINICA, 2002, 51 (08) : 1671 - 1674
[9] An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations
Parkes, EJ
Duffy, BR
[J]. COMPUTER PHYSICS COMMUNICATIONS, 1996, 98 (03) : 288 - 300
[10] Auxiliary equation method for solving nonlinear partial differential equations
Sirendaoreji
Sun, J
[J]. PHYSICS LETTERS A, 2003, 309 (5-6) : 387 - 396

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