Black and gray spatial optical solitons with Kerr type nonlocal nonlinearity

TL;DR

This paper introduces a numerical method for computing black and gray spatial optical solitons in Kerr-type nonlocal nonlinear media, analyzing specific nonlocal responses and deriving analytical relationships for soliton properties.

Contribution

It presents a novel numerical approach for nonlocal solitons and derives analytical expressions for their tails and velocity relationships.

Findings

Analytical form of nonlocal gray soliton tails

Relationship between soliton velocity and nonlocal length

Numerical method applicable to different nonlocal responses

Abstract

We develop one numerical method to compute black and gray solitons with Kerr-type nonlocal nonlinearity. As two examples of nonlocal cases, the gray soliton with exponentially decaying nonlocal response or with Gaussian nonlocal response are discussed. For such two nonlocal cases, the analytical form of the tails of nonlocal gray soliton is presented and the analytical relationship for the maximal transverse velocity of nonlocal gray soliton to the characteristic nonlocal length is obtained.