Non-holonomic constraints and their impact on discretizations of Klein-Gordon lattice dynamical models

DOI10.3934/proc.2015.0696zbMath1338.37111arXiv1503.05516OpenAlexW2963920548MaRDI QIDQ260881

Zoi Rapti, Vakhtang Putkaradze, Panayotis G. Kevrekidis

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05516

zbMATH Keywords

conservation lawskinksPeierls-Nabarro barrierdiscrete solitonsKlein-Gordon models

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Simulation of dynamical systems (37M05) Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices

Cites Work

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• Standard nearest-neighbour discretizations of Klein–Gordon models cannot preserve both energy and linear momentum
• Discrete Klein–Gordon models with static kinks free of the Peierls–Nabarro potential

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