Quasi-surfaces waves under drift and diffusion mechanism in nonlinear interfaces$^\dag$

Abstract

We study numerically and theoretically the behaviour of one-dimensional bright spatial soliton in an interface formed by a nonlinear media under drift and diffusion nonlinearities, and a linear one in the second media. The mechanism of diffusion causes self-bending effect on the soliton, and in consequence it is launched to nonlinear interface; after that the soliton is reflected to nonlinear medium and self-bending by diffusion newly launched the soliton to the interface. In consequence, a quasi-surface wave is formed. We present details about the trajectory, coefficient of saturation and energy during the dynamics of the spatial soliton.