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