Soliton complexity in the damped-driven nonlinear Schr\"odinger equation: stationary, periodic, quasiperiodic complexes

TL;DR

This paper explores the diverse bound states of damped-driven solitons in the nonlinear Schrödinger equation, mapping stationary and oscillatory complexes to understand their complex behaviors.

Contribution

It provides a comprehensive chart of two-soliton attractors, expanding the understanding of soliton interactions beyond single solitons.

Findings

Mapped stationary and oscillatory soliton complexes

Compiled a chart of two-soliton attractors

Enhanced understanding of soliton dynamics in nonlinear systems

Abstract

Stationary and oscillatory bound states, or complexes, of the damped-driven solitons are numerically path-followed in the parameter space. We compile a chart of the two-soliton attractors, complementing the one-soliton attractor chart.