Oscillatory instability and stability of stationary solutions in the parametrically driven, damped nonlinear Schrödinger equation

F. Carreño-Navas, R. Alvarez-Nodarse, N. R. Quintero

We found two stationary solutions of the parametrically driven, damped nonlinear Schrödinger equation with nonlinear term proportional to $|\psi (x,t){|}^{2\kappa }\psi (x,t)$ for positive value…