Oscillating solutions of the multidimensional nonlinear Schroedinger equation

Abstract

We show analytically that there can exist oscillating bound states of the multidimensional nonlinear Schroedinger equations with Kerr and saturable nonlinearity which are breather-like solutions. The solutions have a rare peculiarity, the oscillating behavior takes place between the widths, with the amplitude kept almost constant. We confirm numerically our results.