Nonlinear Instabilities of Multi-Site Breathers in Klein-Gordon Lattices

DOI10.1111/sapm.12107zbMath1353.34014arXiv1505.02815OpenAlexW226020412MaRDI QIDQ2822878

Dmitry E. Pelinovsky, Panayotis G. Kevrekidis, Jesús Cuevas

Publication date: 5 October 2016

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02815

zbMATH Keywords

Floquet spectrumKrein signaturenonlinear Klein-Gordon latticemulti-site breather

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60) Ordinary lattice differential equations (34A33)

Related Items (8)

Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach ⋮ Moving discrete breathers in a \(\beta\)-FPU lattice revisited ⋮ Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein–gordon lattices in ℤ^d, d ≥ 1 ⋮ Nonlinear instability of half-solitons on star graphs ⋮ On orbital instability of spectrally stable vortices of the NLS in the plane ⋮ Existence and Stability of Klein–Gordon Breathers in the Small-Amplitude Limit ⋮ Approximation of small-amplitude weakly coupled oscillators by discrete nonlinear Schrödinger equations ⋮ Preface: Mark J. Ablowitz, nonlinear waves and integrable systems. Part II

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