VARIATIONAL APPROACH TO THE ZAKHAROV-SHABAT SCATTERING PROBLEM

被引：17

作者：

DESAIX, M

ANDERSON, D

LISAK, M

机构：

[1] Institute for Electromagnetic Field Theory, Chalmers University of Technology

来源：

PHYSICAL REVIEW E | 1994年 / 50卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.50.2253

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

It is shown that the Zakharov-Shabat scattering problem associated with the inverse scattering transform technique for solving the nonlinear Schrodinger equation call be reformulated as a variational problem. This reformulation makes it possible to use direct variational methods for, finding the eigenvalues of the scattering problem, which determines the speed and amplitude of the solitons emerging from a given initial condition. The approach is illustrated by an application to sech-shaped initial conditions.

引用

页码：2253 / 2256

页数：4

共 7 条

[1]

ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249

[2]

Abramowitz M., 1970, HDB MATH FUNCTIONS

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