Dispersion-managed solitons via an averaged variational principle

DOI10.1016/j.physd.2003.11.002zbMath1047.65084OpenAlexW2149738612MaRDI QIDQ1433699

Vadim Zharnitsky, Russell K. Jackson, Christopher K. R. T. Jones

Publication date: 1 July 2004

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

Full work available at URL: https://doi.org/10.1016/j.physd.2003.11.002

zbMATH Keywords

Schrödinger equationConstrained minimizationVariational principleBisolitonDispersion managementDispersion-managed solitonHermite-Gaussian basis

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Soliton equations (35Q51)

Related Items

Infinitely many radial solutions of a variational problem related to dispersion-managed optical fibers ⋮ Optical solitons as ground states of NLS in the regime of strong dispersion management ⋮ The singular perturbation limit of a variational problem from nonlinear fiber optics

Cites Work

• The singular perturbation limit of a variational problem from nonlinear fiber optics
• Convective Linear Stability of Solitary Waves for Boussinesq Equations
• Stabilizing effects of dispersion management
• Unnamed Item

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