Higher-order lattice diffraction: solitons in the discrete NLS equation with next-nearest-neighbor interactions

DOI10.1016/S0167-2789(03)00178-7zbMath1057.82007OpenAlexW1970196165MaRDI QIDQ1401533

A. R. Bishop, Boris A. Malomed, Dimitrios J. Frantzeskakis, Avadh Saxena, Panayotis G. Kevrekidis

Publication date: 17 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(03)00178-7

zbMATH Keywords

instabilityone-dimensional dynamical latticeone-site cubic nonlinearity

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping ⋮ Moving embedded lattice solitons ⋮ Discrete solitons in zigzag waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings ⋮ Statistical mechanics of systems with negative temperature ⋮ On the effect of discreteness in the modulation instability for the Salerno model ⋮ Related Models

Cites Work

• Dynamics of lattice kinks
• Quasiperiodic breathers in Hamiltonian lattices with symmetries
• Breathers on a background: Periodic and quasiperiodic solutions of extended discrete nonlinear wave systems
• Localized excitations in discrete nonlinear Schrödinger systems: Effects of nonlocal dispersive interactions and noise
• Existence and stability of quasiperiodic breathers in the discrete nonlinear Schrödinger equation
• Hamiltonian Hopf bifurcation with symmetry

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