Using a Fourier spectral method, we provide a detailed numerical investigation of dispersive Schrödinger-type equations involving a fractional Laplacian in an one-dimensional case. By an appropriate ...

Stochastic Nonlinear Schrödinger Equations (SNLSEs) extend the classical nonlinear Schrödinger framework by incorporating random fluctuations, thereby capturing the interplay between deterministic ...

In this paper we consider the local well-posedness theory for the quadratic nonlinear Schrödinger equation with low regularity initial data in the case when the nonlinearity contains derivatives. We ...

Enormous disks of stars or debris can operate under the same rules as subatomic particles, changing based on the Schrodinger equation, which physicists use to model quantum-mechanical systems. Viewing ...