A Finite Difference Scheme for (2+1)D Cubic-Quintic Nonlinear Schrödinger Equations with Nonlinear Damping

Anh Ha Le, Toan T. Huynh, Quan M. Nguyen

Solitons of the purely cubic nonlinear Schrödinger equation in a space dimension of $n\ge 2$ suffer critical and supercritical collapses. These solitons can be stabilized in a cu…