Power and momentum dependent soliton dynamics in lattices with longitudinal modulation

TL;DR

This paper investigates how soliton behavior in longitudinally modulated lattices depends on power, momentum, and lattice parameters, revealing complex dynamics useful for soliton control.

Contribution

It introduces a comprehensive analysis of soliton dynamics in modulated lattices, highlighting new behaviors not seen in uniform lattices, with potential applications in soliton control.

Findings

Soliton mobility can be enhanced through lattice modulation

Distinct dynamical regimes include trapping, switching, and quasiperiodic behavior

Complex dynamics depend on power, initial momentum, and lattice parameters

Abstract

Soliton dynamics in a large variety of longitudinally modulated lattices are studied in terms of phase space analysis for an effective particle approach and direct numerical simulations. Complex soliton dynamics are shown to depend strongly on both their power/width and their initial momentum as well as on lattice parameters. A rish set of qualitatively distinct dynamical features of soliton propagation that have no counterpart in longitudinally uniform lattices is illustrated. This set includes cases of enhanced soliton mobility, dynamical switching, extended trapping in several transverse lattice periods, and quasiperiodic trapping, which are promising for soliton control applications.