Periodic traveling waves in diatomic granular chains
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Publication:379908
DOI10.1007/s00332-013-9165-6zbMath1405.34016arXiv1204.3909OpenAlexW2047728548MaRDI QIDQ379908
Matthew Betti, Dmitry E. Pelinovsky
Publication date: 11 November 2013
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.3909
Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Ordinary lattice differential equations (34A33)
Related Items (13)
Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit ⋮ Existence and multiplicity of wave trains in a 2D diatomic face-centered lattice ⋮ The monoatomic FPU system as a limit of a diatomic FPU system ⋮ Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices with small mass-ratio ⋮ Spectral validation of the Whitham equations for periodic waves of lattice dynamical systems ⋮ Nanopteron-stegoton traveling waves in spring dimer Fermi-Pasta-Ulam-Tsingou lattices ⋮ Traveling waves in trimer granular lattice. I: Bifurcation structure of traveling waves in the unit-cell model ⋮ High-energy waves in superpolynomial FPU-type chains ⋮ Dynamics of one-dimensional granular arrays with pre-compression ⋮ Asymptotic approximations to travelling waves in the diatomic Fermi-pasta-Ulam lattice ⋮ Metastability of solitary waves in diatomic FPUT lattices ⋮ Nonlinear Instabilities of Multi-Site Breathers in Klein-Gordon Lattices ⋮ Exact Diatomic Fermi--Pasta--Ulam--Tsingou Solitary Waves with Optical Band Ripples at Infinity
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