Citation
I. Loris et R. Willox, Symmetry reductions of the BKP hierarchy, J MATH PHYS, 40(3), 1999, pp. 1420-1431
Citations number
18
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488
→ ACNP
Volume
40
Issue
3
Year of publication
1999
Pages
1420 - 1431
Database
ISI
SICI code
0022-2488(199903)40:3<1420:SROTBH>2.0.ZU;2-K
Abstract
A general symmetry of the bilinear BKP hierarchy is studied in terms of tau
functions. We use this symmetry to define reductions of the BKP hierarchy,
among which new integrable systems can be found. The reductions are connec
ted to constraints on the Lax operator as well as on the bilinear formulati
on. A class of solutions for the reduced equations is derived. (C) 1999 Ame
rican Institute of Physics. [S0022-2488(99)02603-1].