19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
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Continuous integrable systems

Place

Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Date: 23 Jun 15:00 - 17:40

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Displaying 5 contributions out of 5
Dupin cyclidic (DC) coordinates in R^3 are triple orthogonal coordinates where all coordinate lines are circles or straight lines. Besides classical examples (spherical, cylindrical, conical, etc.) there are less-known DC coordinates constructed using two focal conics (ellipse and hyperbola, or two parabolas) in orthogonal planes, used by Darboux for separation of variables in the Laplace equation ... More
Presented by Dr. Rimvydas KRASAUSKAS on 23/06/2023 at 15:00
In the present talk we address a longstanding problem of search for integrable partial differential systems in four independent variables, i.e. in the case most relevant for possible applications in physics, and show that such systems are significantly less exceptional than it appeared before: in addition to a number of previously known examples like the (anti)self-dual Yang--Mills equations there ... More
Presented by Prof. Artur SERGYEYEV on 23/06/2023 at 15:20
Several examples of delay differential equations (equations relating a function of a single variable to shifts and derivatives of the function with respect to that variable) have appeared in the literature that deserve to be called integrable. Some are known to be reductions of integrable differential-difference equations and possess Lax pairs as well as continuum limits to the classical Painlev ... More
Presented by Prof. Rod HALBURD on 23/06/2023 at 13:30
The famous Peter-Weyl theorem tells that the ring of functions on a simple Lie group has a direct sum decomposition with summands isomorphic to tensor products of irreducible representations. In the case of more general groups there is no direct sum decomposition. However we prove that there exists a filtration such that its subquotients are tensor products of some very natural representations for ... More
Presented by Dr. Yevhen MAKEDONSKYI on 23/06/2023 at 14:30
We establish all the reductions of a system of two coupled sine-Gordon equations introduced by Konopelchenko and Rogers to ordinary differential equations. All these reductions are degeneracies of a master equation of Chazy, "curious for its elegance", algebraic transform of the sixth Painlevé equation.
Presented by Mr. Robert CONTE on 23/06/2023 at 13:00
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