On the solution of the fractional nonlinear Schrodinger equation

被引：119

作者：

Rida, S. Z. ^{[1
]}

EI-Sherbiny, H. M. ^{[2
]}

Arafa, A. A. M. ^{[1
]}

机构：

[1] S Valley Univ, Fac Sci, Dept Math, Qena, Egypt

[2] Suez Canal Univ, Fac Educ, Dept Math, Suez, Egypt

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 05期

关键词：

the decomposition method; NLS equation; numerical solution; fractional calculus;

D O I：

10.1016/j.physleta.2007.06.071

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present the nonlinear Schrodinger (NLS) equation of fractional order. The fractional derivatives are described in the Caputo sense. The Adomian decomposition method (ADM) in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for different types of fractional differential equations. In these schemes, the solution constructed in power series with easily computable components. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：553 / 558

页数：6

共 11 条

[1]

Adomain G., 1994, Solving Frontier Problems of Physics: The Decomposition Method

[2] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].