Compact and almost compact breathers: A bridge between an anharmonic lattice and its continuum limit

DOI10.1063/1.1852292zbMath1080.37081OpenAlexW2007379682WikidataQ51975913 ScholiaQ51975913MaRDI QIDQ5705490

Philip S. Rosenau, Steven Schochet

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1852292

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Lattice dynamics; integrable lattice equations (37K60)

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Cites Work

• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Cellular automaton fluids. I: Basic theory
• On the method of modified equations. I: Asymptotic analysis of the Euler forward difference method
• Stability of discrete breathers
• Hamiltonian dynamics of dense chains and lattices: or how to correct the continuum
• Existence of breathers on FPU lattices
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Discrete compactons: some exact results
• Nonlinear Dispersion and Compact Structures
• Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems.

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