American Institute of Mathematical Sciences

Advanced
2009, 2009(Special): 208-219. doi: 10.3934/proc.2009.2009.208

Bidifferential graded algebras and integrable systems

Aristophanes Dimakis 1, and  Folkert Müller-Hoissen 2,

1. 

Department of Financial and Management Engineering, University of the Aegean, 31 Fostini Str., GR-82100 Chios, Greece
2. 

Max-Planck-Institute for Dynamics and Self-Organization, Bunsenstrasse 10, D-37073 Göttingen, Germany

Received  June 2008 Revised  July 2009 Published  September 2009

In the framework of bidifferential graded algebras, we present universal solution generating techniques for a wide class of integrable systems.
Keywords: Darboux transformation, Miura transformation, differential graded algebra, Integrable system.
Mathematics Subject Classification: Primary: 37K10, 37K30; Secondary: 16E45.
Citation: Aristophanes Dimakis, Folkert Müller-Hoissen. Bidifferential graded algebras and integrable systems. Conference Publications, 2009, 2009 (Special) : 208-219. doi: 10.3934/proc.2009.2009.208
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