Weak and strong interactions between dark solitons and dispersive waves

TL;DR

This paper investigates the mutual interactions between dark solitons and dispersive waves, revealing how intense waves influence soliton dynamics and how two dark solitons can form a cavity for dispersive waves, with differences from bright soliton interactions.

Contribution

It provides analytical and numerical insights into the resonant scattering and cavity formation between dark solitons and dispersive waves, highlighting novel solitonic cavity structures.

Findings

Intense dispersive waves significantly alter dark soliton frequencies and speeds.

Two dark solitons can form a cavity for bouncing dispersive waves.

Dark solitonic cavities have convex mirrors, unlike bright soliton cavities.

Abstract

The effect of mutual interaction between dark solitons and dispersive waves is investigated numerically and analytically. The condition of the resonant scattering of dispersive waves on dark solitons is derived and compared against the results of numerical simulations. It is shown that the interaction with intense dispersive waves affects the dynamics of the soltons strongly changing their frequencies and accelerating or decelerating the solitons. It is also demonstrated that two dark solitons can form a cavity for dispersive weaves bouncing between the two dark solitons. The differences of the resonant scattering of the dispersive waves on the dark and bright solitons are discussed. In particular we demonstrate that two dark solitons and dispersive wave bouncing in between them create solitonic cavity with convex "mirrors" unlike the concave "mirror" in case of the bright solitons.