Soliton solutions of the resonant nonlinear Schrodinger's equation in optical fibers with time-dependent coefficients by simplest equation approach

被引:126
作者
Eslami, M. [1 ]
Mirzazadeh, M. [2 ]
Biswas, Anjan [3 ,4 ]
机构
[1] Univ Mazandaran, Dept Math, Fac Math Sci, Babol Sar, Iran
[2] Univ Guilan, Dept Math, Fac Math Sci, Rasht, Iran
[3] Delaware State Univ, Dept Math Sci, Sagamiko, Kanagawa 19901, Japan
[4] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
关键词
solitons; integrability; SUB-ODE METHOD; WAVE SOLUTIONS;
D O I
10.1080/09500340.2013.850777
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper, the resonant nonlinear Schrodinger's equation is studied with four forms of nonlinearity. This equation is also considered with time-dependent coefficients. The simplest equation method is applied to solve the governing equations and then exact 1-soliton solutions are obtained. It is shown that this method provides us with a powerful mathematical tool for solving nonlinear evolution equations with time-dependent coefficients in mathematical physics.
引用
收藏
页码:1627 / 1636
页数:10
相关论文
共 25 条
[1]  
Biswas A., 2012, Quantum Physics Letters, V1, P79
[2]  
Eslami M., OPTIK UNPUB
[3]   EXACT-SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION [J].
KUDRYASHOV, NA .
PHYSICS LETTERS A, 1990, 147 (5-6) :287-291
[4]   Exact solitary waves of the Fisher equation [J].
Kudryashov, NA .
PHYSICS LETTERS A, 2005, 342 (1-2) :99-106
[5]   Simplest equation method to look for exact solutions of nonlinear differential equations [J].
Kudryashov, NA .
CHAOS SOLITONS & FRACTALS, 2005, 24 (05) :1217-1231
[6]   ON TYPES OF NONLINEAR NONINTEGRABLE EQUATIONS WITH EXACT-SOLUTIONS [J].
KUDRYASHOV, NA .
PHYSICS LETTERS A, 1991, 155 (4-5) :269-275
[7]   Meromorphic solutions of nonlinear ordinary differential equations [J].
Kudryashov, Nikolai A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (10) :2778-2790
[8]   Solitons of the resonant nonlinear schrodinger equation with nontrivial boundary conditions: Hirota bilinear method [J].
Lee, J.-H. ;
Pashaev, O. K. .
THEORETICAL AND MATHEMATICAL PHYSICS, 2007, 152 (01) :991-1003
[9]   The resonant nonlinear Schrodinger equation in cold plasma physics. Application of Backlund-Darboux transformations and superposition principles [J].
Lee, J.-H. ;
Pashaev, O. K. ;
Rogers, C. ;
Schief, W. K. .
JOURNAL OF PLASMA PHYSICS, 2007, 73 (02) :257-272
[10]  
Lee M., 2013, NONLINEAR ANAL-REAL, V14, P1669