Dynamics of breathers in discrete nonlinear Schrödinger models
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Publication:1808344
DOI10.1016/S0167-2789(98)00070-0zbMath0952.37030OpenAlexW1975285221MaRDI QIDQ1808344
Serge Aubry, Magnus Johansson, K.Ø. Rasmussen, Peter Leth Christiansen, Yuri Borisovich Gaididei
Publication date: 6 December 1999
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00070-0
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear dynamics in mechanics (70K99) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)
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Cites Work
- Breathers in nonlinear lattices: existence, linear stability and quantization
- Chaotic polaronic and bipolaronic states in the adiabatic Holstein model
- Mobility and reactivity of discrete breathers
- Internal modes of envelope solitons
- Soliton dynamics in the discrete nonlinear Schrödinger equation
- Existence and stability of quasiperiodic breathers in the discrete nonlinear Schrödinger equation
- Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit
- A numerical calculation of a weakly non-local solitary wave: the ϕ4breather
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
- Blow-up in Nonlinear Schroedinger Equations-I A General Review
- Subcritical localization in the discrete nonlinear Schrodinger equation with arbitrary power nonlinearity