Two-Dimensional Discrete Gap Breathers in a Two-Dimensional Discrete Diatomic Klein–Gordon Lattice
Year: 2009
Type: article
Abstract: We study the existence and stability of two-dimensional discrete breathers in a two-dimensional discrete diatomic Klein–Gordon lattice consisting of alternating light and heavy atoms, with nearest-neighbor harmonic coupling. Localized solutions to the corresponding nonlinear differential equations with frequencies inside the gap of the linear wave spectrum, i.e. two-dimensional gap breathers, are investigated numerically. The numerical results of the corresponding algebraic equations demonstrate the possibility of the existence of two-dimensional gap breathers with three types of symmetries, i.e., symmetric, twin-antisymmetric and single-antisymmetric. Their stability depends on the nonlinear on-site potential (soft or hard), the interaction potential (attractive or repulsive) and the center of the two-dimensional gap breathers (on a light or a heavy atom).
Source: Chinese Physics Letters
Authors: Xu Quan, Qiang Tian
Institutions: Beijing Normal University, Daqing Normal University
Language: English
Topic: Nonlinear Photonic Systems
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2011854450