Adiabatic and non-adiabatic soliton interactions in nonlinear optics

DOI10.1016/S0167-2789(01)00179-8zbMath0972.78020OpenAlexW1985681359MaRDI QIDQ5940218

Vladimir S. Gerdjikov, Ivan M. Uzunov

Publication date: 22 November 2001

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00179-8

zbMATH Keywords

optical solitonscomplex Toda chainnonlinear guided wavesnonlinear Schrödinger hierarchyoptical communication systems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60)

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Interaction ofNsolitons in the massive Thirring model and optical gap system: The complex Toda chain model, Modeling adiabatic \(N\)-soliton interactions and perturbations, N-Soliton Interactions for the Manakov System: Effects of External Potentials, Adiabatic interactions of Manakov solitons -- effects of cross-modulation, Asymptotic behavior of Manakov solitons: effects of potential wells and humps, Generalized perturbed complex Toda chain for Manakov system and exact solutions of Bose-Einstein mixtures, On Asymptotic Dynamical Regimes of Manakov N-soliton Trains in Adiabatic Approximation

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