Authors
Citation
Vv. Konotop et Ve. Vekslerchik, DIRECT PERTURBATION-THEORY FOR DARK SOLITONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(3), 1994, pp. 2397-2407
Citations number
25
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
ISSN journal
1063651X
Volume
49
Issue
3
Year of publication
1994
Pages
2397 - 2407
Database
ISI
SICI code
1063-651X(1994)49:3<2397:DPFDS>2.0.ZU;2-1
Abstract
Perturbation theory for dark solitons governed by the nonlinear Schrod
inger equation is developed. Orthogonality and closure of the basis of
the basis of squared Jost functions are proved. The general form of a
correction to the one-soliton solution up to first order is obtained.
Two examples related to perturbed dynamics of dark optical solitons a
re considered within the framework of the adiabatic approximation.