Generation of bright spatial quasi-solitons by arbitrary initial beam profiles in local and nonlocal (1+1)-Dimensional nonlinear media

Abstract

In this paper we demonstrate numerically that it is possible to generate bright spatial quasi-solitons, in media that are described by the (1+1)-Dimensional local and nonlocal Nonlinear Schrodinger Equation, using initial condition field distributions that are distinct from the analytical solution. In the local case different initial conditions were considered and in the nonlocal case different response functions and degrees of nonlocality were considered, obtaining the same behavior: at the beginning the initial profile is reshaped and after some distance, the beam propagates almost without change or in an small oscillatory way. The propagated intensity profile in the local case evolves to hyperbolic secant and in the nonlocal case to Gaussian, regardless of the degree of nonlocality. Analytical formulas for the propagated intensity profile are given.