Solitary waves for nonconvex FPU lattices

DOI10.1007/S00332-005-0735-0zbMath1114.37044DBLPjournals/jns/SchwetlickZ07OpenAlexW2048591023WikidataQ59902274 ScholiaQ59902274MaRDI QIDQ866923

Johannes Zimmer, Hartmut R. Schwetlick

Publication date: 14 February 2007

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/6948/1/schwetlickzimmer.pdf

zbMATH Keywords

solitary wavesnonconvex energylattice dynamicsdouble welldiscrete nonlinear elasticity

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Solitary waves in solid mechanics (74J35) Lattice dynamics; integrable lattice equations (37K60)

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NONLINEAR WAVES IN NEWTON'S CRADLE AND THE DISCRETE p-SCHRÖDINGER EQUATION ⋮ Cnoidal waves on Fermi-Pasta-Ulam lattices ⋮ OSCILLATORY WAVES IN DISCRETE SCALAR CONSERVATION LAWS ⋮ Solitary waves in FPU-type lattices ⋮ Small planar travelling waves in two-dimensional networks of coupled oscillators ⋮ Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model ⋮ Action minimising fronts in general FPU-type chains ⋮ Uniform sliding states in the undamped Frenkel-Kontorova model ⋮ Modulation of uniform motion in diatomic Frenkel-Kontorova model ⋮ Solitary waves on nonlocal Fermi-Pasta-Ulam lattices: exponential localization ⋮ Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction

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