The intertwined derivative Schrödinger system of Calogero--Moser--Sutherland type

Math Physics Seminar
Wednesday, April 10, 2024 - 1:00pm for 1 hour (actually 50 minutes)
Skiles 006
Ruoci Sun – School of Mathematics, Georgia Tech –
Federico Bonetto

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This presentation is dedicated to extending both defocusing and focusing Calogero–Moser–Sutherland derivative nonlinear Schrödinger equations (CMSdNLS), which are introduced in Abanov–Bettelheim–Wiegmann [arXiv:0810.5327], Gérard-Lenzmann [arXiv:2208.04105] and R. Badreddine [arXiv:2303.01087, arXiv:2307.01592], to a system of two matrix-valued variables. This new system is an integrable extension and perturbation of the original CMSdNLS equations. Thanks to the conjugation acting method, I can establish the explicit expression for general solutions on the torus and on the real line in my work [hal-04227081].