Exact solutions for a perturbed nonlinear Schrödinger equation by using Bäcklund transformations

被引：0
|
作者：
Hassan A. Zedan
E. Aladrous
S. Shapll
机构：
[1] King Abdulaziz University,Mathematical Department, Faculty of Science
[2] Kafr El-Sheikh University,Mathematical Department, Faculty of Science
[3] Ain Shams University,Mathematical Department, Faculty of Education
来源：
Nonlinear Dynamics | 2013年 / 74卷
关键词：
Bäcklund transformation; Perturbed nonlinear Schrödinger equation; Soliton solution; AKNS class;
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学科分类号：
摘要：
The Bäcklund transformation from the Riccati form of inverse method is presented for the Perturbed Nonlinear Schrödinger Equation. Consequently, the exact solutions for Perturbed Nonlinear Schrödinger equation can be obtained by the AKNS class. The technique developed relies on the construction of the wave functions which are solutions of the associated AKNS; that is, a linear eigenvalues problem in the form of a system of PDE. Moreover, we construct a new soliton solution from the old one and its wave function.
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页码：1145 / 1151
页数：6
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