Nodal solitons and the nonlinear breaking of discrete symmetry

Abstract

We present a new type of soliton solutions in nonlinear photonic systems with discrete point-symmetry. These solitons have their origin in a novel mechanism of breaking of discrete symmetry by the presence of nonlinearities. These so-called nodal solitons are characterized by nodal lines determined by the discrete symmetry of the system. Our physical realization of such a system is a 2D nonlinear photonic crystal fiber owning C6v symmetry.

arXiv comment4 pages, 4 figures;minor changes in the text

References in corpus (3)

• Observation of discrete vortex solitons in optically-induced photonic lattices
• Asymmetric vortex solitons in nonlinear periodic lattices
• Vortex solitons in photonic crystal fibers

Cited by in corpus (9)

• Solitons in nonlinear lattices
• Soliton topology versus discrete symmetry in optical lattices
• Vortex transmutation
• Vorticity cutoff in nonlinear photonic crystals
• Discrete-symmetry vortices as angular Bloch modes
• Nonlinear PT-symmetric plaquettes
• Symmetry, winding number and topological charge of vortex solitons in discrete-symmetry media
• Angular Pseudomomentum Theory for the Generalized Nonlinear Schrödinger Equation in Discrete Rotational Symmetry Media
• Symmetry-assisted vorticity control in Bose-Einstein condensates