Application of the Exp-Function Method to the Riccati Equation and New Exact Solutions with Three Arbitrary Functions of Quantum Zakharov Equations

被引:14
作者
Abdou, Mohamed A. [1 ,2 ]
Abulwafa, Essam M. [1 ]
机构
[1] Mansoura Univ, Fac Sci, Dept Phys, Theoret Res Grp, Mansoura 35516, Egypt
[2] King Kahlid Univ, Dept Phys, Fac Educ Girls, Bisha, Saudi Arabia
来源
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2008年 / 63卷 / 10-11期
关键词
Exp-Function Method; Generalized F-Expansion Method; Quantum Zakharov Equations; New Solitary and Periodic Solutions;
D O I
10.1515/zna-2008-10-1107
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
The Exp-function method with the aid of the symbolic computational system is used for constructing generalized solitary solutions of the generalized Riccati equation. Based on the Riccati equation and its generalized solitary solutions, new exact solutions with three arbitrary functions of quantum Zakharov equations are obtained. It is shown that the Exp-function method provides a straightforward and important mathematical tool for nonlinear evolution equations in mathematical physics.
引用
收藏
页码:646 / 652
页数:7
相关论文
共 31 条
[1]   New periodic wave solutions via extended mapping method [J].
Abdou, M. A. ;
Zhang, Sheng .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (01) :2-11
[2]   An improved generalized F-expansion method and its applications [J].
Abdou, M. A. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 214 (01) :202-208
[3]   Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method [J].
Abdou, M. A. ;
Elhanbaly, A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (07) :1229-1241
[4]   A generalized auxiliary equation method and its applications [J].
Abdou, M. A. .
NONLINEAR DYNAMICS, 2008, 52 (1-2) :95-102
[5]   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
[6]   On the variational iteration method [J].
Abdou, M. A. .
PHYSICS LETTERS A, 2007, 366 (1-2) :61-68
[7]   The extended F-expansion method and its application for a class of nonlinear evolution equations [J].
Abdou, M. A. .
CHAOS SOLITONS & FRACTALS, 2007, 31 (01) :95-104
[8]  
Abdou M. A., 2007, J NONLINEAR DYNAMICS, V52, P277
[9]   Decomposition method for solving a system of coupled fractional-time nonlinear equations [J].
Abdou, MA ;
Elhanbaly, A .
PHYSICA SCRIPTA, 2006, 73 (04) :338-348
[10]   New applications of variational iteration method [J].
Abdou, MA ;
Soliman, AA .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 211 (1-2) :1-8