Stationary localized modes of the quintic nonlinear Schrödinger equation with a periodic potential
Stationary localized modes of the quintic nonlinear Schrödinger equation with a periodic potential
We consider localized modes (bright solitons) of the one-dimensional quintic nonlinear Schr\"odinger equation with a periodic potential, describing several mean-field models of low-dimensional condensed gases. In the case of attractive nonlinearity we deduce sufficient conditions for collapse. We show that there exist spatially localized modes with arbitrarily large numbers of …