Standard nearest-neighbour discretizations of Klein–Gordon models cannot preserve both energy and linear momentum

DOI10.1088/0305-4470/39/23/003zbMath1098.81055arXivnlin/0506002OpenAlexW2034190161MaRDI QIDQ5478422

Sergey V. Dmitriev, Nobuhiro Yoshikawa, Panayotis G. Kevrekidis

Publication date: 13 July 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0506002

Mathematics Subject Classification ID

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Collision of \(\phi^4\) kinks free of the Peierls-Nabarro barrier in the regime of strong discreteness ⋮ Periodic Klein-Gordon chains with three particles in 1:2:2 resonance ⋮ On a class of spatial discretizations of equations of the nonlinear Schrödinger type ⋮ Translationally invariant kink solutions of discrete \(\varphi^4\) models ⋮ Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices ⋮ Effect of damping on kink ratchets in the Klein-Gordon lattice free of the Peierls-Nabarro potential ⋮ Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string ⋮ Exceptional Discretizations of the NLS: Exact Solutions and Conservation Laws ⋮ Non-holonomic constraints and their impact on discretizations of Klein-Gordon lattice dynamical models

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