Localized excitations in discrete nonlinear Schrödinger systems: Effects of nonlocal dispersive interactions and noise

DOI10.1016/S0167-2789(97)00261-3zbMath0969.81010OpenAlexW2088088703MaRDI QIDQ1963790

Magnus Johansson, S. F. Mingaleev, K.Ø. Rasmussen, Yuri Borisovich Gaididei, Peter Leth Christiansen

Publication date: 8 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00261-3

zbMATH Keywords

trial functionsbistabilitylong-range interactionnoise variancecompeting length scalesnearest-neighbor couplingbreather-like excitationsdipole-dipole dispersive interactiondispersive interactionsnonlocal dispersionon-site solitonsone-dimensional discrete nonlinear Schrödinger modelpower dependence

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Software, source code, etc. for problems pertaining to quantum theory (81-04)

Related Items (12)

Map of discrete system into continuous ⋮ Effects of next-nearest-neighbor interactions on discrete multibreathers corresponding to Davydov model with saturable nonlinearities ⋮ Partial fractional derivatives of Riesz type and nonlinear fractional differential equations ⋮ Exact discretization of Schrödinger equation ⋮ Ground states in spatially discrete non-linear Schrödinger models ⋮ Higher-order lattice diffraction: solitons in the discrete NLS equation with next-nearest-neighbor interactions ⋮ On the validity of the variational approximation in discrete nonlinear Schrödinger equations ⋮ Statistics of noise-driven coupled nonlinear oscillators: applications to systems with Kerr nonlinearity ⋮ Two-vibron bound states in a stochastic surrounding: quantum breather diffusion ⋮ Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings ⋮ Exact solution of T-difference radial Schrödinger equation ⋮ Related Models

Cites Work

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• Solitons in a One-Dimensional Lennard-Jones Lattice
• Mel’nikov’s Function for Two-Dimensional Mappings
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Dynamics of topological solitons in models with nonlocal interactions

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