Multibreather solitons in the diffraction managed NLS equation

DOI10.1016/j.physleta.2005.09.055zbMath1195.35279OpenAlexW2144048906MaRDI QIDQ1957447

Panayotis Panayotaros

Publication date: 27 September 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.09.055

zbMATH Keywords

variational methodsnonlinear Schrödinger equationsdiscrete breathers

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items

Invariant tori in the discrete NLS with small amplitude diffraction management ⋮ Multi-peaked localized states of DNLS in one and two dimensions

Uses Software

• EISPACK
• HYBRJ
• minpack

Cites Work

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• Singular perturbation and boundary layer for an abstract Cauchy problem
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• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Excitation thresholds for nonlinear localized modes on lattices
• Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators
• Diffraction managed solitons: asymptotic validity and excitation thresholds
• Averaging methods in nonlinear dynamical systems
• On some discrete variational problems