The singular perturbation limit of a variational problem from nonlinear fiber optics

DOI10.1016/S0167-2789(03)00066-6zbMath1027.78009OpenAlexW1978388965MaRDI QIDQ1870471

Markus Kunze

Publication date: 13 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(03)00066-6

zbMATH Keywords

energy functionalsdispersion managed solitonsvanishing positive residual dispersion limit

Mathematics Subject Classification ID

Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Variational principles of physics (49S05)

Related Items (7)

Quartic normal forms for the periodic nonlinear Schrödinger equation with dispersion manage\-ment ⋮ Diffraction managed solitons with zero mean diffraction ⋮ Unnamed Item ⋮ Dispersion-managed solitons via an averaged variational principle ⋮ Regularity of ground state solutions of dispersion managed nonlinear Schrödinger equations ⋮ The nonlinear Schrödinger equation with white noise dispersion ⋮ Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion

Cites Work

• Unnamed Item
• Dispersion-managed solitons via an averaged variational principle
• Nonlinear solitary waves with Gaussian tails
• On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: Intermediate solutions
• Bifurcation from the essential spectrum without sign condition on the nonlinearity
• Stabilizing effects of dispersion management

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