Structure of integrable supersymmetric nonlinear dynamical systems on reduced invariant submanifolds

Autor: Prytula, M. M., Kuybida, V. S.
Zdroj: Ukrainian Mathematical Journal; September 1992, Vol. 44 Issue: 9 p1183-1186, 4p
Abstrakt: Based on an analysis of a supersymmetric extension of the algebra of pseudodifferential operators on R1 an infinite hierarchy of supersymmetric Lax-integrable nonlinear dynamical systems is constructed by means of the Yang-Baxter R-equation method. The structure of these systems on reduced invariant submanifolds specified by a natural invariant Lax-type spectral problem is investigated.
Databáze: Supplemental Index