Periodic waves and solitons in a nonlinear fibre with resonant impurities

DOI10.1080/09500340210130093zbMath1016.37034OpenAlexW2100637347MaRDI QIDQ4805478

S. B. Cavalcanti, A. M. Kamchatnov, B. A. Umarov, Roberto A. Kraenkel

Publication date: 23 June 2003

Published in: Journal of Modern Optics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09500340210130093

zbMATH Keywords

periodic solutionsintegrabilitysolitonsresonancescoupled nonlinear Schrödinger equationdynamic equationsoptical fibreBloch systempropagation of a single pulseWhitham modulational theory

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Waves and radiation in optics and electromagnetic theory (78A40)

Cites Work

• Unnamed Item
• On improving the effectiveness of periodic solutions of the NLS and DNLS equations

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