Optical solitons as ground states of NLS in the regime of strong dispersion management

DOI10.1016/S0167-2789(03)00229-XzbMath1058.78003MaRDI QIDQ1409189

Michael Kurth

Publication date: 5 October 2003

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

zbMATH Keywords

standing wave solutionlens transformationaveraged variational principle

Mathematics Subject Classification ID

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

Related Items (1)

Nonlinear dynamics of differential equations with attractive–repulsive singularities and small time‐dependent coefficients

Cites Work

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• Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials
• Multiple solitary waves due to second-harmonic generation in quadratic media
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• Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials
• Nonlinear solitary waves with Gaussian tails
• The dispersion-managed soliton as a ground state of a macroscopic nonlinear quantum oscillator
• Bifurcation from the essential spectrum without sign condition on the nonlinearity
• Averaging of Dispersion-Managed Solitons: Existence and Stability
• Stabilizing effects of dispersion management

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