Combined breathing-kink modes in the FPU lattice

DOI10.1016/j.physd.2010.11.002zbMath1208.37042OpenAlexW1982766653MaRDI QIDQ633717

Andrew Pickering, Jonathan A. D. Wattis, Pilar Ruiz Gordoa

Publication date: 29 March 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2010.11.002

zbMATH Keywords

solitary wavessolitonskinksbreathers

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Behaviour of the extended modified Volterra lattice-reductions to generalised mKdV and NLS equations ⋮ Behaviour of the extended Volterra lattice ⋮ 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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• Asymptotic analysis of combined breather-kink modes in a Fermi-Pasta-Ulam chain
• Breathers on a diatomic FPU chain
• The inverse scattering transform: Semi-infinite interval
• On some classes of mKdV periodic solutions
• NONLINEAR EXCITATIONS IN STRONGLY-COUPLED PLASMA LATTICES: ENVELOPE SOLITONS, KINKS AND INTRINSIC LOCALIZED MODES
• Discrete breathers in Fermi–Pasta–Ulam lattices
• Localized waves in nonlinear oscillator chains
• Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems.

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