Authors
Citation
J. Gawrylczyk, RIEMANN-LIOUVILLE INTEGRAL AND CONTINUOUS KP HIERARCHY, Journal of mathematical physics, 36(7), 1995, pp. 3461-3478
Citations number
31
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
ISSN journal
00222488
Volume
36
Issue
7
Year of publication
1995
Pages
3461 - 3478
Database
ISI
SICI code
0022-2488(1995)36:7<3461:RIACKH>2.0.ZU;2-Q
Abstract
Extension of the standard construction of the Kadomtsev-Petviashvili (
KP) hierarchy by the use of Riemann-Liouville integral is given. In co
nsequence we obtain the new classes of integer as well as fractional g
raded KP hierarchies, which are further investigated. The fractional c
alculus leads to the new generalization of the w(infinity) algebra. (C
) 1995 American Institute of Physics.