Randomized exponential integrators for modulated nonlinear Schrödinger equations
Randomized exponential integrators for modulated nonlinear Schrödinger equations
Abstract We consider the nonlinear Schrödinger equation with dispersion modulated by a (formal) derivative of a time-dependent function with fractional Sobolev regularity of class $W^{\alpha ,2}$ for some $\alpha \in (0,1)$. Due to the loss of smoothness in the problem, classical numerical methods face severe order reduction. In this work, …