Research Seminar in Mathematics - Management of solitons in medium with competing cubic and quadratic nonlinearities
12 May 2023 13:15 T207, Teknikhuset
Please contact Andrii Dmytryshyn if you have any questions regarding this seminar series.
Speaker
Jasur Yuldashev, Uzbek Academy of Sciences, Tashkent, Uzbekistan.
Abstract
Management of solitons in media with competing quadratic and cubic nonlinearities is investigated. Two schemes, using rapid modulations of a mismatch parameter, and of the Kerr nonlinearity parameter are studied. For both cases, the averaged in time wave equations are derived. In the case of mismatch management, the region of the parameters where stabilization is possible is found. In the case of Kerr nonlinearity management, it is shown that the effective χ(2) nonlinearity depends on the intensity imbalance between fundamental (FH) and second (SH) harmonics. Predictions obtained from the averaged equations are confirmed by numerical simulations of the full PDE's.
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