Authors
Citation
Sy. Lou, KDV EXTENSIONS WITH PAINLEVE PROPERTY, Journal of mathematical physics, 39(4), 1998, pp. 2112-2121
Citations number
32
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
ISSN journal
00222488
Volume
39
Issue
4
Year of publication
1998
Pages
2112 - 2121
Database
ISI
SICI code
0022-2488(1998)39:4<2112:KEWPP>2.0.ZU;2-I
Abstract
By means of the conformal invariance (Mobious transformation invarianc
e), the well known KdV equation is extended to (i) a (1+1)-dimensional
space-time symmetric form; (ii) two (2+1)-dimensional space isotropic
forms; and (iii) general (3+1)-dimensional and N-dimensional forms. T
he extensions are proven to be integrable under the meaning that they
possess the Painleve property. (C) 1998 American Institute of Physics.
[S0022-2488(98)02303-2].