BOUNDARY-VALUE PROBLEM FOR THE KDV EQUATION ON A HALF-LINE

Authors
ADLER VE HABIBULLIN IT SHABAT AB
Citation
Ve. Adler et al., BOUNDARY-VALUE PROBLEM FOR THE KDV EQUATION ON A HALF-LINE, Theoretical and mathematical physics, 110(1), 1997, pp. 78-90
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
110
Issue
1
Year of publication
1997
Pages
78 - 90
Database
ISI
SICI code
0040-5779(1997)110:1<78:BPFTKE>2.0.ZU;2-V
Abstract
The L-A pair corresponding to the boundary value problem with the cond ition u \(x=0)=a for the KdV equation is presented. A broad class of e xact solutions to this equation is constructed and the conservation la ws are discussed.