Classical and Quantum Integrability

Multiple rogue waves and integrable models: perspectives and retrospectives

6 sept. 2019, 09:45

45m

Amphi Paris

Morning Session

Orateur

Vladimir Matveev (Université de Bourgogne)

Description

This talk is dedicated to the description of the modulation instabilities, leading to the appearance of phenomena of multiple rogue waves generation in a frame of integrable hierarchies. It is mainly concentrated on the AKNS hierarchy and some related systems.
An essential part of the results is exposed in our recent article: V.B. Matveev, A.O. Smirnov "AKNS and NLS hierarchies, MRW solutions, P_n breathers, and beyond", J.Math. Phys. 59, 091419(2018); doi: 10.1063/1.5049949