SOLITON SOLUTIONS FOR ANTI-CUBIC NONLINEARITY USING THREE ANALYTICAL APPROACHES

被引:12
作者
Ramzan, Muhammad [1 ]
Chu, Yu-Ming [2 ,3 ]
Rehman, Hamood Ur [1 ]
Saleem, Muhammad Shoaib [1 ]
Park, Choonkil [4 ]
机构
[1] Univ Okara, Dept Math, Okara 56300, Pakistan
[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[3] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410004, Peoples R China
[4] Hanyang Univ, Dept Math, Seoul 04763, South Korea
来源
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 04期
关键词
Nonlinear schrodinger equation; anti-cubic nonliearity; modified kudryashov method; exp(a)-function method; generalized tanh-method; SINGULAR OPTICAL SOLITONS; VARIATIONAL ITERATION METHOD; TIME-DEPENDENT COEFFICIENTS; SCHRODINGERS EQUATION; KERR; DARK; NLSE; PERTURBATION; FIBERS;
D O I
10.11948/20200380
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, three constructive techniques namely, Exp a -function method, the modified Kudryashov method and the generalized tanh-method are adopted to analyze the nonlinear Schrodinger equation having anti-cubic nonlinearity. Nonlinear Schrodinger equation is a comprehensive model that governs wave behavior in optical fiber. Cubic-quintic nonlinear Schrodinger equation, additionally having anti-cubic nonlinear term is investigated to construct bright, dark, kink and singular soliton solutions. The graphical representations of the soliton propagation are also demonstrated by the solutions obtained using these three techniques.
引用
收藏
页码:2177 / 2192
页数:16
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