Multi-peaked localized states of DNLS in one and two dimensions
From MaRDI portal
Publication:2492279
DOI10.1016/j.physd.2005.12.023zbMath1117.82028arXivnlin/0512028OpenAlexW2011882555MaRDI QIDQ2492279
Publication date: 9 June 2006
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0512028
Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Boundary value problems on graphs and networks for ordinary differential equations (34B45)
Related Items
Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach, Ground states in spatially discrete non-linear Schrödinger models, Discrete breathers in two-dimensional nonlinear lattices, Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity
Cites Work
- The discrete self-trapping equation
- Chaotic polaronic and bipolaronic states in the adiabatic Holstein model
- The concept of anti-integrability applied to dynamical systems and to structural and electronic models in condensed matter physics
- Electron autolocalized states in molecular chains
- On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation
- Multibreather solitons in the diffraction managed NLS equation
- Mobile localization in nonlinear Schrödinger lattices
- Stability of discrete solitons in nonlinear Schrödinger lattices
- A method for locating symmetric homoclinic orbits using symbolic dynamics
- Existence and stability of quasiperiodic breathers in the discrete nonlinear Schrödinger equation
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
- Bound states of two-dimensional solitons in the discrete nonlinear Schrödinger equation
- Localization in physical systems described by discrete nonlinear Schrödinger-type equations
- Standing wave instabilities in a chain of nonlinear coupled oscillators