Solitary wave solutions of time-space nonlinear fractional Schrodinger's equation: Two analytical approaches

被引：61

作者：

Hashemi, M. S. ^{[1
]}

Akgul, Ali ^{[2
]}

机构：

[1] Univ Bonab, Basic Sci Fac, Dept Math, POB 55517-61167, Bonab, Iran

[2] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 339卷

关键词：

Nonlinear Schrodinger equation; Nucci method; Simplest equation method; Soliton solutions; LIE SYMMETRY ANALYSIS; NONCLASSICAL SYMMETRIES; DIFFERENTIAL-EQUATIONS; INVARIANT ANALYSIS; FISHER EQUATION; DIMENSION;

D O I：

10.1016/j.cam.2017.11.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper obtains analytical solution of nonlinear Schrodinger equation in both time and space fractional terms. Two analytical approaches, Nucci's reduction method and simplest equation method are utilized to extract analytical solutions specially of soliton kinds. The Kerr law, power law, parabolic law, dual-power law and log law nonlinearities are considered separately. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：147 / 160

页数：14

共 40 条

[1] A meshfree method for the solution of two-dimensional cubic nonlinear Schrodinger equation [J].