Modulational instability and quantum local modes in easy-axis ferromagnetic chains with the Dzyaloshinskii-Moriya interaction

DOI10.1007/s10773-017-3384-9zbMath1391.82016OpenAlexW2606442358MaRDI QIDQ1701219

Bing Tang

Publication date: 22 February 2018

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-017-3384-9

zbMATH Keywords

modulational instabilityHartree approximationweak ferromagnetsquantum local modes

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Unnamed Item
• A note on rational solutions to a Hirota-Satsuma-like equation
• Dark soliton control in inhomogeneous optical fibers
• Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation
• Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
• The quantum discrete self-trapping equation in the Hartree approximation
• Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation
• Modulational instability and localized breather modes in the discrete nonlinear Schrödinger equation with helicoidal hopping
• Modulational instability and discrete breathers in the discrete cubic-quintic nonlinear Schrö\-dinger equation
• Quantum breathers in Heisenberg ferromagnetic chains with Dzyaloshinsky-Moriya interaction
• Existence and stability of discrete breathers in diatomic Fermi–Pasta–Ulam type lattices
• General Theory of Spin-Wave Interactions
• Thermodynamic Behavior of an Ideal Ferromagnet
• Modulational instability: first step towards energy localization in nonlinear lattices
• Vector bright solitons associated with positive coherent coupling via Darboux transformation
• Discrete Breathers with Dissipation
• Discrete quantum breathers: What do we know about them?

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