Nonlinear dissipative structures as model of two-dimensional optic solitons
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dissipative structures, optic solitons, Darboux and Laplace transformations, Boiti — Leon — Pempinelli equations.
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Algebra method of the construction of the Maxwell equations in a 2D inhomogeneous dielectric
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Possible manifestations of the quantum Hawking radiation effect in nonlinear optics
The analogy between solitons and black holes is considered for self-induced transparency. In nonlinear optics Hawking radiation can exist. This effect in particular leads to decreasing of soliton energy with time.
Astashenok A. V., Teplyakov A. S.
nonlinear optics,...
The dynamics of localized pulse as solutions of Davey — Stewartson II equations
... behavior of support function on infinity. In particular, the exponentially localized perturbations split into an infinite number of the resonances.
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Inverse scattering transform method and soliton solutions for Davey — Stewartson II equation // Physica D, 1989. 36. P. 189—196.
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Closed string-like solutions of the Davey-Stewartson equation // Inverse Problems.
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