Travelling Waves in Hamiltonian Systems on 2D Lattices with Nearest Neighbor Interactions
Michal Feckan, Vassilis M. Rothos
Abstract
We study travelling waves on a two--dimensional lattice with linear and nonlinear coupling between nearest particles and a periodic nonlinear substrate potential. Such a discrete system can model molecules adsorbed on a substrate crystal surface. We show the existence of both uniform sliding states and periodic travelling waves as well in a two-dimensional sine-Gordon lattice equation using topological and variational methods.
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.