Special Session 66
Discrete Integrable Systems
Stephane Lafortune
Kenichi Maruno
Essentially, integrability is the field that studies nonlinear equations for which the dynamics can be determined for long periods of times. While the property of integrability for differential equations has been widely studied, the theory of integrable discrete systems is a relatively new field of research. Just like differential equations however, finite-difference equations appear in a wide range of application. The goal of this mini-symposium is to bring together specialists of this field of research. We will discuss different existing notions of integrability in the discrete and ultra-discrete cases and see how these can be used for studying equations arising in applications.

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