New Soliton and Periodic Solutions for Two Nonlinear Physical Models

被引:7
作者
Chun, Changbum [1 ]
Sakthivel, Rathinasamy [1 ]
机构
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
来源
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2010年 / 65卷 / 12期
关键词
Burgers-Kadomtsev-Petviashvili Equation; Solitonary Solutions; Vakhnenko Equation; Travelling Wave Solutions; Exp-Function Method; EXP-FUNCTION METHOD; VARIATIONAL ITERATION METHOD; MULTIPLE-FRONT SOLUTIONS; TRAVELING-WAVE SOLUTIONS; COMPACTON-LIKE SOLUTION; EVOLUTION-EQUATIONS; KDV EQUATION; VARIABLE-COEFFICIENTS; DECOMPOSITION METHOD; VAKHNENKO EQUATION;
D O I
10.1515/zna-2010-1205
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
In this paper, the exp-function method is applied by using symbolic computation to construct a variety of new generalized solitonary and periodic solutions for the Burgers-Kadomtsev-Petviashvili and Vakhnenko equations with distinct physical structures. The results reveal that the exp-function method is very effective and powerful for solving nonlinear evolution equations in mathematical physics.
引用
收藏
页码:1049 / 1054
页数:6
相关论文
共 32 条
[1]   Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method [J].
Abdou, M. A. .
NONLINEAR DYNAMICS, 2008, 52 (1-2) :1-9
[2]  
Abdou M. A., 2008, INT J NONLINEAR SCI, V6, P208
[3]   Application of the Exp-Function Method to the Riccati Equation and New Exact Solutions with Three Arbitrary Functions of Quantum Zakharov Equations [J].
Abdou, Mohamed A. ;
Abulwafa, Essam M. .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2008, 63 (10-11) :646-652
[4]   Exact solutions for nonlinear evolution equations using Exp-function method [J].
Bekir, Ahmet ;
Boz, Ahmet .
PHYSICS LETTERS A, 2008, 372 (10) :1619-1625
[6]   New periodic wave solutions via Exp-function method [J].
Ei-Wakil, S. A. ;
Abdou, M. A. ;
Hendi, A. .
PHYSICS LETTERS A, 2008, 372 (06) :830-840
[7]   The use of adomian decomposition method for solving the regularized long-wave equation [J].
El-Danaf, TS ;
Ramadan, MA ;
Alaal, FEIA .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :747-757
[8]  
El-Sayed SM, 2004, INT J NONLIN SCI NUM, V5, P105
[9]   Application of Exp-function method for nonlinear evolution equations with variable coefficients [J].
El-Wakil, S. A. ;
Madkour, M. A. ;
Abdou, M. A. .
PHYSICS LETTERS A, 2007, 369 (1-2) :62-69
[10]   Variational theory for one-dimensional longitudinal beam dynamics [J].
He, JH .
PHYSICS LETTERS A, 2006, 352 (4-5) :276-277