Breather solutions in the diffraction managed NLS equation

DOI10.1016/j.physd.2005.05.006zbMath1075.35079OpenAlexW2113031735MaRDI QIDQ2566695

Panayotis Panayotaros

Publication date: 28 September 2005

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2005.05.006

zbMATH Keywords

variational methodsnonlinear Schrödinger equationsdiscrete breathers

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice dynamics; integrable lattice equations (37K60)

Related Items (9)

Diffraction managed solitons with zero mean diffraction ⋮ Discrete diffraction managed solitons: Threshold phenomena and rapid decay for general nonlinearities ⋮ Continuum limit related to dispersion managed nonlinear Schrödinger equations ⋮ Interaction behaviors between solitons, breathers and their hybrid forms for a short pulse equation ⋮ On non-local variational problems with lack of compactness related to non-linear optics ⋮ Multibreather solitons in the diffraction managed NLS equation ⋮ Invariant tori in the discrete NLS with small amplitude diffraction management ⋮ Super-exponential decay of diffraction managed solitons ⋮ Generalized Ablowitz-Ladik equation with a dual Lagrangian structure

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Singular perturbation and boundary layer for an abstract Cauchy problem
• Quartic normal forms for the periodic nonlinear Schrödinger equation with dispersion manage\-ment
• Averaging and Benjamin-Feir instabilities in a parametrically forced nonlinear Schrödinger equation
• One-Parameter Semigroups for Linear Evolution Equations
• 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
• Stable Pulse Solutions for the Nonlinear Schrödinger Equation with Higher Order Dispersion Management
• Stabilizing effects of dispersion management

This page was built for publication: Breather solutions in the diffraction managed NLS equation