MKdV breathers from soliton - snoidal wave interactions

Ana Mucalica , McMaster University

11/13, 2023 at 11:30am-12:30pm (HH312)

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.