Lower and upper estimates on the excitation threshold for breathers in discrete nonlinear Schrödinger lattices

DOI10.1063/1.3263142zbMath1304.34022arXiv0903.2964OpenAlexW1550108216MaRDI QIDQ3583691

F. Palmero, Nikos I. Karachalios, Jesús Cuevas

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.2964

zbMATH Keywords

Schrödinger equationlattice theorynonlinear equationsbound states

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) 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 (6)

Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping ⋮ Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping ⋮ Solitary waves of the Schrödinger lattice system with nonlinear hopping ⋮ Existence and Stability of Klein–Gordon Breathers in the Small-Amplitude Limit ⋮ Excitation threshold for the discrete coupled Schrödinger lattice system ⋮ Existence of exponentially spatially localized breather solutions for lattices of nonlinearly coupled particles: Schauder’s fixed point theorem approach

Cites Work

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