Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8955692 | Applied Mathematics Letters | 2019 | 8 Pages |
Abstract
We have constructed a new fractional pseudo-differential metrized operator Lie algebra on the axis, enabling within the general Adler-Kostant-Symes approach the generation of infinite hierarchies of integrable nonlinear differential-fractional Hamiltonian systems of Korteweg-de Vries, Schrödinger and Kadomtsev-Petviashvili types. Using the natural quasi-classical approximation of the metrized fractional pseudo-differential operator Lie algebra, we construct a new metrized fractional symbolic Lie algebra and related infinite hierarchies of integrable mutually commuting fractional symbolic Hamiltonian flows, modeling Benney type hydrodynamical systems.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Oksana Ye. Hentosh, Bohdan Yu. Kyshakevych, Denis Blackmore, Anatolij K. Prykarpatski,