Bright Chirp-free and Chirped Nonautonomous solitons under Dispersion and Nonlinearity Management

TL;DR

This paper derives analytical solutions for nonautonomous solitons in a generalized NLSE with variable dispersion and nonlinearity, showing how dispersion management influences their shape, motion, and breathing behavior.

Contribution

It introduces new analytical nonautonomous soliton solutions under dispersion and nonlinearity management using Darboux transformation, highlighting their dynamic properties.

Findings

Dispersion management affects soliton motion without changing shape for chirp-free solitons.

Periodic dispersion can control the breathing behavior of chirped solitons.

Classical optical solitons can be modeled with variable dispersion and nonlinearity without gain.

Abstract

We present a series of chirp-free and chirped analytical nonautonomous soliton solutions to the generalized nonlinear Schrodinger equation (NLSE) with distributed coefficients by Darboux transformation from a trivial seed. For chirpfree nonautonomous soliton, the dispersion management term can change the motion of nonautonomous soliton and do not affect its shape at all. Especially,the classical optical soliton can be presented with variable dispersion term and nonlinearity when there is no gain. For chirped nonautonomous soliton, dispersion management can affect the shape and motion of nonautonomous solitons meanwhile. The periodic dispersion term can be used to control its "breathing" shape, and it does not affect the trajectory of nonautonomous soliton center with a certain condition.