Spectral theory and nonlinear problems Théorie spectrale et problèmes non-linéaires

We present a Lie algebra theoretical schema leading to integrable systems, based on the Kostant-Kirillov coadjoint action. Many problems on Kostant-Kirillov coadjoint orbits in subalgebras of infinite dimensional Lie algebras (Kac-Moody Lie algebras) yield large classes of extended Lax pairs. A...

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Bibliographic Details
Main Author: Ahmed Lesfari
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2010-06-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v05/p13.pdf