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AA Sukhorukov

Publications and source records attributed to AA Sukhorukov.

2 recordsLinked to original sources

Approximate solutions and scaling transformations for quadratic solitons

We study quadratic solitons supported by two- and three-wave parametric interactions in chi((2)) nonlinear media. Both planar and two-dimensional cases are considered. We obtain very accurate, "almost exact," explicit analytical solutions, matching the actual bright soliton profiles, with the help of a specially developed approach, based on analysis of the scaling properties. Additionally, we use these approximations to describe the linear tails of solitary waves which are related to the properties of the soliton bound states.

Journal Article↗

Multisoliton complexes on a background

We obtain solutions of M coupled nonlinear Schrodinger equations that describe multisoliton complexes (MCs) on a background. We present explicit multiparameter families of solutions and numerical simulations, demonstrating specific features of MCs and their collisions. It is shown, in particular, that a MC on a background can have a complicated intensity profile due to a nonlinear superposition of pairs of bright and dark single solitons.

Journal Article↗