Dispersive evolution of pulses in oscillator chains with general interaction potentials
From MaRDI portal
Publication:2496593
DOI10.3934/dcdsb.2006.6.493zbMath1152.34035OpenAlexW2126717834MaRDI QIDQ2496593
Johannes Giannoulis, Alexander Mielke
Publication date: 11 July 2006
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.2006.6.493
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Multiple scale methods for ordinary differential equations (34E13) Lattice dynamics; integrable lattice equations (37K60) The dynamics of infinite particle systems (70F45)
Related Items
Breathers in a locally resonant granular chain with precompression ⋮ Asymptotic analysis of combined breather-kink modes in a Fermi-Pasta-Ulam chain ⋮ Travelling breathers and solitary waves in strongly nonlinear lattices ⋮ Breathers in oscillator chains with Hertzian interactions ⋮ Spectrum and amplitude equations for scalar delay-differential equations with large delay ⋮ Interaction of modulated pulses in nonlinear oscillator chains ⋮ Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential ⋮ Numerical experiments on the modulation theory for the nonlinear atomic chain ⋮ Interaction of modulated pulses in scalar multidimensional nonlinear lattices ⋮ Bounds for the nonlinear Schrödinger approximation of the Fermi–Pasta–Ulam system ⋮ On the Korteweg-de Vries limit for the Fermi-Pasta-Ulam system ⋮ Macroscopic behavior of microscopic oscillations in harmonic lattices via Wigner-Husimi transforms ⋮ Lagrangian and Hamiltonian two-scale reduction ⋮ Numerical evidence for the validity of the NLS approximation in systems with a quasilinear quadratic nonlinearity