Multi-mode solitary waves in systems with time- and space-modulated nonlinearities

摘要

We introduce a multi-mode approach to describe the time- and space-modulated nonlinear waves. By constructing a set of bright soliton solutions of the one-dimensional multi-mode nonlinear Schrödinger equations (NSEs), we investigate the density property of a two-mode case. It is found that the existence of a time-periodic lattice would cause a breathing oscillation in the envelope of the density profile of the nonlinear wave, and the mode structure would cause an asymmetric density distribution of the multi-mode soliton.