Soliton dynamics in deformable nonlinear lattices
Andrey A. Sukhorukov
Abstract
We describe wave propagation and soliton localization in photonic lattices which are induced in a nonlinear medium by an optical interference pattern, taking into account the inherent lattice deformations at the soliton location. We obtain exact analytical solutions and identify the key factors defining soliton mobility, including the effects of gap merging and lattice imbalance, underlying the differences with discrete and gap solitons in conventional photonic structures.
Create a lesson
Related papers
Selection of Marginally Stable Patterns by Boundary Conditions
Jacob Daniels, Simon Eskin, Tel Fahrendholz et al.
Extreme Localization via a Singular Edge Mode in an Asymmetric Linkage System
Myeonggyun Joo, Dongwook Kwak, Rajesh Chaunsali et al.
Solitons in the nonlinear Schrödinger equation with the pseudo-Raman term, anti-diffusion gain and nonlinear loss
Evgeny M. Gromov, Boris A. Malomed
A theory for detecting the Turing instability on static and temporal multiplex networks
Joshua Ritchie
Multistability and Juggling States in Frustrated Kuramoto Oscillators on Ring Networks
Guilherme S. Costa, Ricardo Fariello, Marcus A. M. de Aguiar
Whitham modulation theory for the Davey-Stewartson system and stability analysis of its periodic traveling wave solutions
Gino Biondini, Alexander Chernyavsky, Haodong Lin et al.