AN ASYMPTOTIC SOLUTION OF THE CAUCHY-PROBLEM FOR THE DAVEY-STEWARTSON-I-EQUATION

Authors
KISELEV OM
Citation
Om. Kiselev, AN ASYMPTOTIC SOLUTION OF THE CAUCHY-PROBLEM FOR THE DAVEY-STEWARTSON-I-EQUATION, Theoretical and mathematical physics, 114(1), 1998, pp. 81-89
Citations number
24
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
114
Issue
1
Year of publication
1998
Pages
81 - 89
Database
ISI
SICI code
0040-5779(1998)114:1<81:AASOTC>2.0.ZU;2-S
Abstract
We construct an asymptotic solution of the Cauchy problem for the Dave y-Stewartson-I equation as t --> infinity. The solution, which is of o rder t(-1), is rapidly oscillating. The envelope of the oscillations c an be defined by an integral equation.