Enigmas of optical and matter-wave soliton nonlinear tunneling

DOI10.1080/09500340.2010.499043zbMath1218.78101OpenAlexW1974759665MaRDI QIDQ3019583

F. Garcia-Santibañez, T. L. Belyaeva, V. N. Serkin, C. Hernandez-Tenorio

Publication date: 28 July 2011

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

Full work available at URL: https://doi.org/10.1080/09500340.2010.499043

zbMATH Keywords

nonlinear Schrödinger equationGross-Pitaevskii equationoptical solitonsmatter-wave solitonscolored solitonsself-compressing solitonssoliton spectral tunneling effectsoliton tunneling effect

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40) Soliton solutions (35C08)

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Cites Work

• Integrability of the Gross-Pitaevskii equation with Feshbach resonance management
• Particle and wave properties of solitons. Resonant and non-resonant soliton scattering by impurities
• Strong NLS soliton-defect interactions
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Analytic study on the pulse transmission control system in dispersion decreasing fibers
• Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
• Darboux invariants of integrable equations with variable spectral parameters
• Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled nonlinear Schrödinger equations
• A new approach to the analytic soliton solutions for the variable-coefficient higher-order nonlinear Schrödinger model in inhomogeneous optical fibers
• Nonlinear tunnelling

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