Spreading for the generalized nonlinear Schrödinger equation with disorder
Spreading for the generalized nonlinear Schrödinger equation with disorder
The dynamics of an initially localized wave packet is studied for the generalized nonlinear Schr\"odinger equation with a random potential, where the nonlinear term is $\ensuremath{\beta}{|\ensuremath{\psi}|}^{p}\ensuremath{\psi}$ and $p$ is arbitrary. Mainly short times for which the numerical calculations can be performed accurately are considered. Long time calculations are presented as …