Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction

DOI10.3934/DCDS.2009.25.915zbMath1185.37156OpenAlexW2008569297WikidataQ59902243 ScholiaQ59902243MaRDI QIDQ1034180

Johannes Zimmer, Carl-Friedrich Kreiner

Publication date: 11 November 2009

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

Full work available at URL: https://doi.org/10.3934/dcds.2009.25.915

zbMATH Keywords

travelling wavesconcentration compactnessKlein-Gordon lattice

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Nonlinear waves in solid mechanics (74J30) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice ⋮ Action minimising fronts in general FPU-type chains ⋮ Periodic travelling waves in convex Klein-Gordon chains ⋮ Existence of Heteroclinic Traveling Waves in a System of Oscillators on a Two-Dimensional Lattice ⋮ Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction ⋮ Homoclinic traveling waves in discrete sine-Gordon equation with nonlinear interaction on 2D-lattice

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