Date(s) - 13/11/2023 11:30 am - 12:30 pm
Time: 11:30am – 12:30pm
Location: HH 312
Title: MKdV breathers from soliton – snoidal wave interactions
Speaker: Ana Mucalica (McMaster University)
Abstract: In general, breathers are localized, periodic, unsteady wavepackets arising as solutions to a wide range of integrable systems, of which a canonical model is the mKdV equation. In this talk I will present a new exact closed-form solution to the defocusing modified Korteweg-de Vries equation which describes the interaction of a dark solitary wave and a traveling periodic wave (referred to as a dark breather). The exact solution, written in terms of real-valued Jacobi theta functions, allows us to gain insight into the characteristic properties of these dark breathers and elaborate on their dynamic interactions.