2 papers
math.PR2019
Explicit form of the effective evolution equation for the randomly forced Schrödinger equation with quadratic nonlinearity
Huilin Zhang, Elena Tobisch
An effective equation describes a weakly nonlinear wave field evolution governed by nonlinear dispersive PDEs \emph{via} the set of its resonances in an arbitrary big but finite do…
nlin.PS2018
Direct dynamical energy cascade in the modified KdV equation
Denys Dutykh, Elena Tobisch
In this study we examine the energy transfer mechanism during the nonlinear stage of the Modulational Instability (MI) in the modified Korteweg-de Vries equation. The particularity…