EQUATIONS INVARIANT UNDER DIFFERENTIAL SUBSTITUTIONS

Authors
NOVIKOV VS
Citation
Vs. Novikov, EQUATIONS INVARIANT UNDER DIFFERENTIAL SUBSTITUTIONS, Theoretical and mathematical physics, 116(2), 1998, pp. 890-895
Citations number
5
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
116
Issue
2
Year of publication
1998
Pages
890 - 895
Database
ISI
SICI code
0040-5779(1998)116:2<890:EIUDS>2.0.ZU;2-4
Abstract
The classification of differential autosubstitutions of the form (u) o ver cap = G(u(x),u) that are allowed by general evolution equations wi th one spatial variable is considered. In the one-field case, every su ch substitution can be reduced to the autosubstitution (u) over cap = u + u(x)/u for the Burgers equation by a point transformation. This su bstitution is generalized to the two-field case.