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A criterion for non-persistence of travelling breathers for perturbations of the Ablowitz-Ladik lattice

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Publication:1884249
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DOI10.3934/dcdsb.2004.4.911zbMath1062.37095OpenAlexW2068942912MaRDI QIDQ1884249

Yanyan Li

Publication date: 27 October 2004

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2004.4.911


zbMATH Keywords

first integralHamiltonian latticetravelling breather


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Discrete version of topics in analysis (39A12) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice dynamics; integrable lattice equations (37K60)


Related Items (5)

Travelling breathers in Klein-Gordon lattices as homoclinic orbits to \(p\)-tori ⋮ Localized waves in nonlinear oscillator chains ⋮ One-parameter localized traveling waves in nonlinear Schrödinger lattices ⋮ Numerical computation of travelling breathers in Klein--Gordon chains ⋮ Travelling breathers with exponentially small tails in a chain of nonlinear oscillators




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