X,Y,Z-Waves: Extended Structures in Nonlinear Lattices
P. G. Kevrekidis, J. Gagnon, D. J. Frantzeskakis, B. A. Malomed
Abstract
Motivated by recent experimental and theoretical results on optical X-waves, we propose a new type of waveforms in 2D and 3D discrete media -- multi-legged extended nonlinear structures (ENS), built as arrays of lattice solitons (tiles or stones, in the 2D and 3D cases, respectively). First, we study the stability of the tiles and stones analytically, and then extend them numerically to complete ENS forms for both 2D and 3D lattices. The predicted patterns are relevant to a variety of physical settings, such as Bose-Einstein condensates in deep optical lattices, lattices built of microresonators, photorefractive crystals with optically induced lattices (in the 2D case) and others.
Create a lesson
Related papers
Nonparametric multiscale modeling of boundary lubrication: hexadecane in highly pressurized gold asperity contacts
Hannes Holey, Michael Moseler, Peter Gumbsch et al.
Asymmetric Ions in Solution are Similar to Active Brownian Particles
Setare Mostajabi Sarhangi, Dmitry V. Matyushov
Influence of twist direction and large deformation on soft material torsional contact
Yucai Hu, Pengfei Li, Michele Ciavarella et al.
Phase transitions and microphases in elastomers. II. Anisotropy-driven morphologies
Manu Mannattil, David Andelman, Haim Diamant
Comparing non-local granular fluid continuum models for silo discharge: Toward clogging prediction
Y. Zhou, Y. Wang, M. Li et al.
Residual semi-crystalline particles released during enzymatic degradation of plastics
Michael Schindler, Ludwik Leibler