An operator valued extension of the super Korteweg-de Vries equations

Authors
Andrea, S Restuccia, A Sotomayor, A
Citation
S. Andrea et al., An operator valued extension of the super Korteweg-de Vries equations, J MATH PHYS, 42(6), 2001, pp. 2625-2634
Citations number
9
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
42
Issue
6
Year of publication
2001
Pages
2625 - 2634
Database
ISI
SICI code
0022-2488(200106)42:6<2625:AOVEOT>2.0.ZU;2-C
Abstract
An extension of the super Korteweg-de Vries (KdV) integrable system in term s of operator valued functions is obtained. Following the ideas of Gardner, a general algebraic approach for finding the infinitely many conserved qua ntities of integrable systems is presented. The approach is applied to the above described system and infinitely many conserved quantities are constru cted. In a particular case they reduce to the corresponding conserved quant ities of super KdV. (C) 2001 American Institute of Physics.