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  4. From November 14 to November 17, NSU will host a mini-course of lectures "Integrable Systems and the Lax Representation"

From November 14 to November 17, NSU will host a mini-course of lectures "Integrable Systems and the Lax Representation"

09.11.2022
Please note that due to unforeseen circumstances, the special course will not take place.

Maxim V. Pavlov (Candidate of Physical and Mathematical Sciences, Lebedev Physical Institute RAS) will read a course of lectures 鈥淚ntegrable Systems and the Lax Representation鈥�.

Dates and venue:

  • November 14 at 4:20 pm, room. 5273, NSU
  • November 15 at 4:20 pm, room. 4140, NSU
  • November 16 at 4:20 pm, room. 4140, NSU
  • November 17 at 4:20 pm, room. 5240, NSU

Mini-course plan

1. Three-dimensional integrable systems. Dispersive and non-dispersive. The concept of a "Lax pair". Integrable hierarchies. The Kadomtsev-Petviashvili equation. Mikhalev's equation.

2. Two-dimensional reductions of three-dimensional integrable hierarchies. Two-dimensional integrable systems. Dispersive and non-dispersive. The concept of a "Lax pair". Integrable hierarchies. Korteweg-de Vries equation, non-linear Schr枚dinger equation, It么 system of equations. Two-dimensional reductions of the Kadomtsev-Petviashvili equation. Two-dimensional reductions of the Mikhalev equation.

3. Exact solutions. Finite-zone solutions. Isomonodromic deformations. Representations of Lax.