VARIATIONAL APPROACH TO THE ZAKHAROV-SHABAT SCATTERING PROBLEM

Authors
DESAIX M ANDERSON D LISAK M
Citation
M. Desaix et al., VARIATIONAL APPROACH TO THE ZAKHAROV-SHABAT SCATTERING PROBLEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(3), 1994, pp. 2253-2256
Citations number
8
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
50
Issue
3
Year of publication
1994
Pages
2253 - 2256
Database
ISI
SICI code
1063-651X(1994)50:3<2253:VATTZS>2.0.ZU;2-K
Abstract
It is shown that the Zakharov-Shabat scattering problem associated wit h the inverse scattering transform technique for solving the nonlinear Schrodinger equation call be reformulated as a variational problem. T his reformulation makes it possible to use direct variational methods for, finding the eigenvalues of the scattering problem, which determin es the speed and amplitude of the solitons emerging from a given initi al condition. The approach is illustrated by an application to sech-sh aped initial conditions.