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BIMSA 计算数学讨论班
BIMSA 计算数学讨论班
Non-Gaussian integrable turbulence from a soliton condensate dragging heavy solitons
Non-Gaussian integrable turbulence from a soliton condensate dragging heavy solitons
组织者
Theory and Computation of PDE Team
演讲者
钟鸣
时间
2026年10月29日 15:00 至 16:00
地点
Online
线上
Zoom 518 868 7656
(BIMSA)
摘要
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.