Документ взят из кэша поисковой машины. Адрес оригинального документа : http://acs366.phys.msu.su/isna16/Abstracts/OnSomeClassofFactorizedDynamicalSystemsandTheirIntegrability.htm
Дата изменения: Wed Jul 10 21:28:52 2002
Дата индексирования: Mon Oct 1 21:24:30 2012
Кодировка:
Abstract

Abstract

 

On Some Class of Factorized Dynamical Systems and Their Integrability

A.K.Prykarpatsky, R.Basiura (Department of Applied Mathematics at the University of Mining and Metallurgy, Krakow, Poland)

e-mail: prykanat@cybergal.com,prikarpa@mat.agh.edu.pl

There is studied the algebraic structure of a class of operatorial evolution equations factorizing standard Lax type integrable flows on the adjoint space to a Lie algebra of pseudo-differential operators. We found the corresponding Poisson structure on the corresponding subgroup Lie, constructed an infinite hierarchy of conservation laws.  Some interesting applications to Korteweg-de Vries type dynamical systems are attached.

 

Section : 12