Multi-peak solitons in nonlocal nonlinear system with sine-oscillation response

TL;DR

This paper analytically and numerically investigates multi-peak solitons in a nonlocal nonlinear system with sine-oscillation response, revealing their existence ranges and stability thresholds for different Kerr coefficients.

Contribution

It provides the first analytical discussion of the existence range of multi-peak solitons in such systems, confirmed by numerical results and stability analysis.

Findings

Existence ranges of multi-peak solitons are analytically determined.

Stability thresholds are five peaks for negative Kerr coefficient, four for positive.

Analytical results are validated by numerical simulations.

Abstract

The multi-peak solitons and their stability are investigated for the nonlocal nonlinear system with the sine-oscillation response, including both the cases of positive and negative Kerr coefficients. The Hermite-Gaussian-type multi-peak solitons and the ranges of the degree of nonlocality within which the solitons exist are analytically obtained by the variational approach. This is the first time, to our knowledge at least, to discuss the solution existence range of the multi-peak solitons analytically, although approximately. The variational analytical results are confirmed by the numerical ones. The stability of the multi-peak solitons are addressed by the linear stability analysis. It is found that the upper thresholds of the peak-number of the stable solitons are five and four for the system with negative and positive Kerr coefficients, respectively.