Existence of Travelling Waves in Discrete Sine-Gordon Rings

DOI10.1137/S0036141004440174zbMath1086.34027arXivnlin/0312042OpenAlexW2132688886MaRDI QIDQ5317391

Guy Katriel

Publication date: 16 September 2005

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0312042

zbMATH Keywords

travelling wavesdiscrete sine-Gordon equationFrenkel--Kontorova model

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Technical applications of optics and electromagnetic theory (78A55) Qualitative investigation and simulation of ordinary differential equation models (34C60) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (12)

Dynamics of the overdamped coupled Josephson junctions with an interference term ⋮ Existence and multiplicity of wave trains in a 2D diatomic face-centered lattice ⋮ Periodic traveling wave solutions of discrete nonlinear Klein‐Gordon lattices ⋮ Existence and modulation of uniform sliding states in driven and overdamped particle chains ⋮ Traveling waves in chains of pendula ⋮ Uniform sliding states in the undamped Frenkel-Kontorova model ⋮ Existence and multiplicity of wave trains in 2D lattices ⋮ Traveling waves in the underdamped Frenkel-Kontorova model ⋮ Modulation of uniform motion in diatomic Frenkel-Kontorova model ⋮ Discrete rotating waves in a ring of coupled mechanical oscillators with strong damping ⋮ Periodic travelling waves in convex Klein-Gordon chains ⋮ Periodic travelling waves on damped 2D lattices with oscillating external forces ^*

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