RAYLEIGH-RITZ PROCEDURE FOR THE ZAKHAROV-SHABAT SYSTEM

Authors
JAWORSKI M
Citation
M. Jaworski, RAYLEIGH-RITZ PROCEDURE FOR THE ZAKHAROV-SHABAT SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 6142-6146
Citations number
12
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
56
Issue
5
Year of publication
1997
Part
B
Pages
6142 - 6146
Database
ISI
SICI code
1063-651X(1997)56:5<6142:RPFTZS>2.0.ZU;2-X
Abstract
The Rayleigh-Ritz variational procedure is applied to solve the Zakhar ov-Shabat scattering problem. An approximate solution is assumed as a linear combination of basis functions, leading to a homogeneous system of linear equations for eigenfunctions and an algebraic equation for eigenvalues. The effectiveness of the variational approach is illustra ted by calculating the discrete spectrum of the Zakharov-Shabat system . Several numerical examples for various pulse-shaped potentials are g iven to demonstrate the practical usefulness of the method.