Семинар сектора




Пятница, 1 сентября 2017, ИТФ, Черноголовка

13:00 М.В. Павлов (ФИАН)
Integrable Dispersive Chains and their Multi-Phase Solutions

Аннотация

We consider a family of integrable dispersive chains, which have infinitely many dispersive reductions, including the KdV equation, the Ito system, the Kaup-Boussinesq system, etc.

For these dispersive chains we construct multi-phase solutions, parameterised by an arbitrary number of constants.

Simultaneously, we construct multi-phase solutions for the dispersive reductions.

Remark: The method used for construction of multi-phase solutions is based on original papers written by B.A. Dubrovin, A.R. Its and V.B. Matveev.

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V.E. Adler / Last updated: March 22, 2015