DEFORMED WHITHAM EQUATIONS FOR SOME NEAR-INTEGRABLE SYSTEMS

Authors
ZABOLOTSKII AA
Citation
Aa. Zabolotskii, DEFORMED WHITHAM EQUATIONS FOR SOME NEAR-INTEGRABLE SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(4), 1997, pp. 4813-4821
Citations number
28
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
4
Year of publication
1997
Pages
4813 - 4821
Database
ISI
SICI code
1063-651X(1997)56:4<4813:DWEFSN>2.0.ZU;2-R
Abstract
A perturbation approach for some near-integrable systems with periodic boundary conditions is developed. Deformed Whitham equations includin g perturbaton terms of a special type are derived in a common form for Ablowitz-Kaup-Newell-Segur models, This approach is used for analysis of the generation of a dense packet of solitons in a model of a two-l evel laser with pumping of the upper level and relaxation.