Periodic solutions of coupled nonlinear Schrödinger equations in nonlinear optics: The resonant case

DOI10.1016/0893-9659(95)00104-2zbMath0855.35117OpenAlexW4212921101MaRDI QIDQ1921143

Benoît Grébert, Jean-Claude Guillot

Publication date: 16 February 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(95)00104-2

zbMATH Keywords

periodic Schrödinger equationsNash-Moser method

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (2)

Lower dimensional invariant tori with prescribed frequency for the nonlinear Schrödinger equation ⋮ Quadratic-argument approach to nonlinear Schrödinger equation and coupled ones

Cites Work

• Unnamed Item
• Periodic solutions of coupled nonlinear Schrödinger equations in nonlinear optics: The nonresonant case
• Normal modes for nonlinear Hamiltonian systems
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Newton's method and periodic solutions of nonlinear wave equations

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