Chaoticons described by nonlocal nonlinear Schrodinger equation

TL;DR

This paper demonstrates that certain stationary solutions of the nonlocal nonlinear Schrödinger equation can evolve into chaoticons, entities exhibiting both chaotic dynamics and soliton-like properties, expanding understanding of complex wave phenomena.

Contribution

It introduces chaoticons as a new class of entities arising from nonlocal nonlinear Schrödinger equations, combining chaos and soliton features.

Findings

Chaoticons exhibit positive Lyapunov exponents indicating chaos.

Chaoticons maintain invariant statistical width during evolution.

Chaoticons can undergo quasi-elastic collisions similar to solitons.

Abstract

It is shown that the unstable evolutions of the Hermite-Gauss-type stationary solutions for the nonlocal nonlinear Schrodinger equation with the exponential-decay response function can evolve into chaotic states. This new kind of entities are referred to as chaoticons because they exhibit not only chaotic properties (with positive Lyapunov exponents and spatial decoherence) but also soliton-like properties (with invariant statistic width and interaction of quasi-elastic collisions).