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BIMSA Computational Math Seminar
BIMSA Computational Math Seminar
Non-Gaussian integrable turbulence from a soliton condensate dragging heavy solitons
Non-Gaussian integrable turbulence from a soliton condensate dragging heavy solitons
Organizer
Theory and Computation of PDE Team
Speaker
Ming Zhong
Time
Thursday, October 29, 2026 3:00 PM - 4:00 PM
Venue
Online
Online
Zoom 518 868 7656
(BIMSA)
Abstract
In the nonlinear Schrodinger equation, modulational instability of a plane wave ends in turbulence with universal Gaussian statistics, explained by a random-phase soliton condensate. We show that in the derivative nonlinear Schrodinger equation this picture fails near the instability threshold: the condensate coexists with heavy solitons next to the continuous spectrum, which it drags backward and which appear not to be randomized. Solving the kinetic equation of state, we find the fourth moment 2 − 4(1 + k0)^2 for carrier wavenumber k0, in agreement with simulations.