EXACT TRAVELING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS

被引：0

作者：

Lee, Jonu ^{[2
]}

Sakthivel, Rathinasamy ^{[1
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

[2] Kyung Hee Univ, Coll Appl Sci, Yongin 446701, South Korea

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2009年 / 7卷 / 04期

关键词：

Traveling wave solutions; modified tanh-coth method; nonlinear evolution equations; Riccati equations; TANH-FUNCTION METHOD; 2-DIMENSIONAL BURGERS EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain many traveling wave solutions for some nonlinear partial differential equations. The modified tanh-coth method with the symbolic computation is implemented for constructing multiple traveling wave solutions for the two dimensional coupled Burger's, ZK-MEW and one dimensional Ostrovsky equations. The results reveal that the implemented technique is very effective and convenient for solving nonlinear partial differential equations arising in mathematical physics.

引用

页码：1053 / 1062

页数：10

共 22 条

[1] A fully implicit finite-difference scheme for two-dimensional Burgers' equations
Bahadir, AR
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (01) : 131 - 137
[2] Extension of the Exp-function method for systems of two-dimensional Burgers equations
Biazar, J.
Ayati, Z.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2103 - 2106
[3] Burgers J.M., 1948, Adv. Appl. Mech., V1, P197, DOI DOI 10.1016/S0065-2156(08)70100-5
[4] New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation
Chen, HT
Zhang, HQ
[J]. CHAOS SOLITONS & FRACTALS, 2004, 19 (01) : 71 - 76
[5] ON A QUASI-LINEAR PARABOLIC EQUATION OCCURRING IN AERODYNAMICS
COLE, JD
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1951, 9 (03) : 225 - 236
[6] On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method
El-Sayed, SM
Kaya, D
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (01) : 101 - 109
[7] New exact travelling wave solutions using modified extended tanh-function method
El-Wakil, S. A.
Abdou, M. A.
[J]. CHAOS SOLITONS & FRACTALS, 2007, 31 (04) : 840 - 852
[8] Modified extended tanh-function method and its applications to nonlinear equations
Elwakil, SA
El-Labany, SK
Zahran, MA
Sabry, R
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 161 (02) : 403 - 412
[9] Extended tanh-function method and its applications to nonlinear equations
Fan, EG
[J]. PHYSICS LETTERS A, 2000, 277 (4-5) : 212 - 218
[10] Applications of the Jacobi elliptic function method to special-type nonlinear equations
Fan, EG
Zhang, H
[J]. PHYSICS LETTERS A, 2002, 305 (06) : 383 - 392

← 1 2 3 →