Numerical study of transverse (in-)stability of solitary waves in the cubic-quintic nonlinear Schrödinger equation

Christian Klein, Christof Sparber

We study the nonlinear Schrödinger equation with a competing cubic-quintic power law nonlinearity on the waveguide domain ${\mathbb{R}}_x\times {\mathbb{T}}_{L_y}$. This model is global…