Spontaneous pattern formation in driven nonlinear lattice
Andrea Vanossi, K. Ø. Rasmussen, A. R. Bishop, B. A. Malomed, V. Bortolani
Abstract
We demonstrate the spontaneous formation of spatial patterns in a damped, ac-driven cubic Klein-Gordon lattice. These patterns are composed of arrays of intrinsic localized modes characteristic for nonlinear lattices. We analyze the modulation instability leading to this spontaneous pattern formation. Our calculation of the modulational instability is applicable in one and two-dimensional lattices, however in the analyses of the emerging patterns we concentrate particularly on the two-dimensional case.
Create a lesson
Related papers
The Origin of Imperfection Sensitivity in the Buckling of Cylindrical Shells
Tian Yang, Tobias M. Schneider
Two-Parameter Family of Nonlinear Dirac Equations With Scalar-Scalar plus Vector-Vector Interactions
Avinash Khare, Fred Cooper, John F. Dawson et al.
Deformation of sine-Gordon two-soliton solutions in φ4 kink-antikink configurations
Aliakbar Moradi Marjaneh, Danial Saadatmand, Fabiano C. Simas et al.
Extreme Events in an Active Fluid Medium
Joydeep Das, Abhishek Chaudhuri, Sudeshna Sinha
Self-similar vector solitons for the coupled higher-order nonlinear Schrodinger equations in inhomogeneous optical fibers
Houria Triki, Vladimir I. Kruglov
Fast Synergetic Simulation to Study Slow Evolution of Soliton Patterns in Optical Resonators
Sanzida Akter, Pradyoth Shandilya, Logan Courtright et al.