Periodic solutions generated by Bäcklund transformations

DOI10.1016/0167-2789(86)90086-2zbMath0613.35006OpenAlexW2009875059MaRDI QIDQ1088842

H. Steudel, Reinhard Meinel

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90086-2

zbMATH Keywords

nonlinear Schrödinger equationBäcklund transformationsoptical waveguideself-induced transparencyperiodic pulse propagationsecond harmonics generation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Nonlinear higher-order PDEs (35G20) Antennas, waveguides in optics and electromagnetic theory (78A50) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

Second harmonic generation: Hamiltonian structures and particular solutions

Cites Work

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• Solitons in stimulated Raman scattering and resonant two-photon propagation
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Simple Harmonic Generation: an Exact Method of Solution
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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