Traveling waves in Fermi-Pasta-Ulam lattices with saturable nonlinearities

DOI10.3934/DCDS.2011.30.835zbMath1218.37109OpenAlexW2334416915MaRDI QIDQ550366

Vassilis M. Rothos, Alexander A. Pankov

Publication date: 8 July 2011

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

Full work available at URL: https://doi.org/10.3934/dcds.2011.30.835

zbMATH Keywords

mountain pass theoremtraveling waveconcentration compactnessFermi-Pasta-Ulam lattice

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics; integrable lattice equations (37K60)

Related Items (16)

Unstable dynamics of solitary traveling waves in a lattice with long-range interactions ⋮ Periodic and solitary travelling waves in infinite lattices without Ambrosetti-Rabinowitz condition ⋮ Solitary waves in FPU-type lattices ⋮ Existence of periodic traveling waves in Fermi-Pasta-Ulam type systems on 2D-lattice with saturable nonlinearities ⋮ Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls–Nabarro barrier ⋮ An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices ⋮ Nonlinear Schrödinger equations on periodic metric graphs ⋮ Existence and multiplicity of wave trains in a 2D diatomic face-centered lattice ⋮ Periodic traveling wave solutions of discrete nonlinear Klein‐Gordon lattices ⋮ Traveling wave solutions for the FPU chain: a constructive approach ⋮ Traveling waves in chains of pendula ⋮ Existence of traveling solitary waves in Fermi-Pasta-Ulam-type systems with saturable nonlinearities on 2D-lattice ⋮ Modulation of uniform motion in diatomic Frenkel-Kontorova model ⋮ Periodic motions for FPU lattice systems with asymptotically quadratic potentials ⋮ Solitary waves on nonlocal Fermi-Pasta-Ulam lattices: exponential localization ⋮ Multiplicity results of breathers for the discrete nonlinear Schrödinger equations with unbounded potentials

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