Modulational and numerical solutions for the steady discrete Sine-Gordon equation in two space dimensions

DOI10.1016/j.physd.2009.04.007zbMath1167.82344OpenAlexW2059951483MaRDI QIDQ833196

L. A. Cisneros, Antonmaria A. Minzoni, Jorge Ize

Publication date: 12 August 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2009.04.007

zbMATH Keywords

steady state solutionboundary layerturning pointlump-type solutionmodulation averaged LagrangianPeierls-Nabarro potential

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (3)

Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension ⋮ Optimal energy-conserving local discontinuous Galerkin method for the one-dimensional sine-Gordon equation ⋮ Non-holonomic constraints and their impact on discretizations of Klein-Gordon lattice dynamical models

Cites Work

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• Chaotic trajectories in the standard map. The concept of anti- integrability
• Kinks and the minimal surface equation in Minkowski space
• Dynamics of lattice kinks
• Asymptotics for kink propagation in the discrete Sine-Gordon equation
• Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
• Discrete breathers in a two-dimensional Fermi–Pasta–Ulam lattice
• Pulse evolution for a two-dimensional sine-Gordon equation

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