Solitons in PT-symmetric nonlinear lattices

TL;DR

This paper reports the discovery of stable localized modes and multipole solutions in PT-symmetric nonlinear lattices, highlighting their unique properties and stability even without conservative potentials.

Contribution

It introduces the existence of stable localized and multipole modes in PT-symmetric nonlinear lattices, a novel finding in the study of such systems.

Findings

Families of solutions parametrized by propagation constant

Stable narrow localized modes without conservative potential

Support for stable multipole solutions

Abstract

Existence of localized modes supported by the PT-symmetric nonlinear lattices is reported. The system considered reveals unusual properties: unlike other typical dissipative systems it possesses families (branches) of solutions, which can be parametrized by the propagation constant; relatively narrow localized modes appear to be stable, even when the conservative nonlinear lattice potential is absent; finally, the system supports stable multipole solutions.