Breathers and Q-Breathers: Two Sides of the Same Coin

DOI10.1137/110834056zbMath1402.39005OpenAlexW2022481600MaRDI QIDQ5388651

Tiziano Penati, Simone Paleari

Publication date: 19 April 2012

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110834056

zbMATH Keywords

finite latticebreathersfinite elements methodfixed boundary conditionslocalization propertiesdiscrete nonlinear SchrödingerQ-breathers

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Discrete version of topics in analysis (39A12) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Numerical methods for ordinary differential equations (65L99) Ordinary lattice differential equations (34A33) Numerical methods for difference equations (65Q10)

Related Items (5)

Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors ⋮ Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping ⋮ Long time stability of small-amplitude breathers in a mixed FPU-KG model ⋮ An extensive resonant normal form for an arbitrary large Klein-Gordon model ⋮ Approximation of small-amplitude weakly coupled oscillators by discrete nonlinear Schrödinger equations

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