Generation of \c{hi}2 solitons from the Airy wave through the parametric instability

TL;DR

This paper investigates how  solitons can spontaneously form from Airy waves via parametric instability in quadratic media, identifying conditions for generating multiple solitons and analyzing their power distribution.

Contribution

It introduces a novel study of soliton generation from Airy waves through parametric instability, detailing the conditions and patterns of multiple soliton formation.

Findings

Identification of parameter regions for 1, 2, and 3 soliton generation

Analysis of power shares among individual solitons

Observation of soliton patterns from opposing Airy waves

Abstract

Spontaneous creation of solitons in quadratic media by the downconversion, i.e., parametric instability against the generation of fundamental-frequency excitations, from the truncated Airy-wave (AW) mode in the second-harmonic component is studied. Parameter regions are identified for the generation of one, two, and three solitons, with additional small-amplitude "jets". Shares of the total power carried by individual solitons are found. Also considered are soliton patterns generated by the downconversion from a pair of AWs bending in opposite directions.