Exact solutions for the perturbed nonlinear Schrodinger equation with power law nonlinearity and Hamiltonian perturbed terms

被引:14
作者
Zayed, Elsayed M. E. [1 ]
Al-Nowehy, Abdul-Ghani [2 ,3 ]
机构
[1] Zagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt
[2] Ain Shams Univ, Dept Math, Fac Educ, Cairo, Egypt
[3] Taiz Univ, Dept Math, Fac Educ & Sci, Taizi, Yemen
来源
OPTIK | 2017年 / 139卷
关键词
Sine-cosine method; Jacobi elliptic equation method; Generalized Kudryashov method; Riccati equation method; Nonlinear Schrodinger equation; Exact solutions; Hyperbolic and trigonometric function solutions; Bright; dark; singular soliton solutions; EXP-FUNCTION METHOD; OPTICAL SOLITONS; TANH METHOD; WAVE SOLUTIONS; BRIGHT; SYSTEM; KERR;
D O I
10.1016/j.ijleo.2017.03.050
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper, we apply four mathematical methods, namely, the sine-cosine method, the Jacobi elliptic equation method, the generalized Kudryashov method and the Riccati equation method for constructing many new exact solutions, the bright, dark, singular soliton solutions, the symmetrical hyperbolic Fibonacci function solutions and the Jacobi elliptic function solutions with parameter of the perturbed nonlinear Schrodinger equation with power law nonlinearity and Hamiltonian perturbed terms. When the parameters take special values, the soliton and other solutions are derived from the exact solutions. The used methods in this paper present a wider applicability for handling nonlinear wave equations. Comparing our new results with the well-known results are given. Also, we compare between the results yielding from the above methods. (C) 2017 Elsevier GmbH. All rights reserved.
引用
收藏
页码:123 / 144
页数:22
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