Energy thresholds for the existence of breather solutions and travelling waves on lattices

DOI10.1080/00036810903277135zbMath1193.37104OpenAlexW2054578731MaRDI QIDQ3584654

Nikos I. Karachalios, F. Palmero, Jesús Cuevas

Publication date: 30 August 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/24831

zbMATH Keywords

travelling wavesimpuritiesdiscrete breathersenergy thresholdsFPU latticesDNLS lattices

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (8)

Self-trapping transition for a nonlinear impurity within a linear chain ⋮ Discrete breathers dynamic in a model for DNA chain with a finite stacking enthalpy ⋮ Periodic traveling wave solutions of discrete nonlinear Klein‐Gordon lattices ⋮ Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping ⋮ Periodic travelling wave solutions of discrete nonlinear Schrödinger equations ⋮ Localised time-periodic solutions of discrete nonlinear Klein-Gordon systems with convex on-site potentials ⋮ Existence and Stability of Klein–Gordon Breathers in the Small-Amplitude Limit ⋮ Stationary states of a nonlinear Schrödinger lattice with a harmonic trap

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• Conductance through a single nonlinear impurity

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