EVOLUTION OF A SOLITONLESS LARGE-SCALE PERTURBATION IN KORTEWEG-DEVRIES HYDRODYNAMICS

Authors
EL GA KHODOROVSKY VV
Citation
Ga. El et Vv. Khodorovsky, EVOLUTION OF A SOLITONLESS LARGE-SCALE PERTURBATION IN KORTEWEG-DEVRIES HYDRODYNAMICS, Physics letters. A, 182(1), 1993, pp. 49-52
Citations number
13
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
182
Issue
1
Year of publication
1993
Pages
49 - 52
Database
ISI
SICI code
0375-9601(1993)182:1<49:EOASLP>2.0.ZU;2-3
Abstract
Dispersive spreading of a localized solitonless initial perturbation i n KdV hydrodynamics with a slight dispersion is investigated with the aid of Whitham's slow modulation method and the generalized hodograph transformation. An exact solution of the appropriate Gurevich-Pitaevsk y problem is constructed and a comparison is made with the results of the inverse scattering problem method in the quasiclassical limit.