Discrete nonlinear Schrödinger equation with arbitrary nonlocality: linear stability analysis and localized solution
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Publication:653495
DOI10.1016/j.physleta.2009.01.037zbMath1228.35222OpenAlexW2065785219MaRDI QIDQ653495
Evgeny V. Doktorov, Maxim A. Molchan
Publication date: 19 December 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2009.01.037
Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) NLS equations (nonlinear Schrödinger equations) (35Q55) Antennas, waveguides in optics and electromagnetic theory (78A50) Lattice dynamics; integrable lattice equations (37K60) Soliton solutions (35C08)
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Cites Work
- Unnamed Item
- Breathers in nonlinear lattices: existence, linear stability and quantization
- Soliton dynamics in the discrete nonlinear Schrödinger equation
- Modulational instabilities and domain walls in coupled discrete nonlinear Schrödinger equations
- Stability analysis of continuous waves in nonlocal random nonlinear media
- Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure
- Modulational instability: first step towards energy localization in nonlinear lattices
- Nonlinear differential–difference equations and Fourier analysis
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators