Soliton solutions of the nonlinear Schrodinger equation with nonlocal Coulomb and Yukawa interactions

被引：6
|
作者：
Hartmann, Betti [1 ]
Zakrzewski, Wojtek J.
机构：
[1] Int Univ Bremen, Sch Sci & Engn, D-28725 Bremen, Germany
[2] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
来源：
PHYSICS LETTERS A | 2007年 / 366卷 / 06期
关键词：
D O I：
10.1016/j.physleta.2007.02.070
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the nonlinear Schrodinger equation in (1 + 1). dimensions in which the nonlinear term is taken in the form of a nonlocal interaction of the Coulomb or Yukawa-type. We solve the equation numerically and find that, for all values of the nonlocal coupling constant, and in all cases, the equation possesses solitonic solutions. We show that our results, for the dependence of the height of the soliton on the coupling constant, are in good agreement with the predictions based on an analytic treatment in which the soliton is approximated by a Gaussian. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：540 / 544
页数：5
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