

Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 5, 2017 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)






Symmetries of the Hirota difference equations
A. K. Pogrebkov^{} ^{} Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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Abstract:
Continuous symmetries of the Hirota difference equation, commuting with
shifts of independent variables, are derived by
means of the dressing procedure. Action of these symmetries on the
dependent variables of the equation is presented.
Commutativity of these symmetries enables interpretation of their
parameters as “times” of the nonlinear
integrable partial differentialdifference and differential equations.
Examples of equations resulting in such procedure
and their Lax pairs are given. Besides these, ordinary, symmetries the
additional ones are introduced and their action on
the Scattering data is presented.

