Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Smirnov, Aleksandr O."'
Publikováno v:
Ufa Mathematical Journal, 2023, Volume 15, Issue 3, Pages 148-163
In our work a hierarchy of integrable vector nonlinear differential equations depending on the functional parameter $r$ is constructed using a monodromy matrix. The first equation of this hierarchy for $r=\alpha(\mathbf{p}^t\mathbf{q})$ is vector ana
Externí odkaz:
http://arxiv.org/abs/2211.12895
In the present paper we analyze the construction of fundamental analytic solutions (FAS) for the generalized Kulish-Sklyanin models (KSM) for vanishing (VBC) and constant boundary conditions (CBC). Using FAS one can reduce the direct and inverse scat
Externí odkaz:
http://arxiv.org/abs/2112.12871
Autor:
Smirnov, Aleksandr O.1 (AUTHOR) alsmir@guap.ru, Frolov, Eugene A.1 (AUTHOR), Dmitrieva, Lada L.2 (AUTHOR)
Publikováno v:
Symmetry (20738994). Jan2024, Vol. 16 Issue 1, p60. 20p.
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena January 2023 166
Here we find the spectral curves, corresponding to the known rational or quasi-rational solutions of AKNS hierarchy equations, ultimately connected with the modeling of the rogue waves events in the optical waveguides and in hydrodynamics. We also de
Externí odkaz:
http://arxiv.org/abs/1712.09309
Autor:
Smirnov, Aleksandr O.1 (AUTHOR) alsmir@guap.ru, Frolov, Eugeni A.1 (AUTHOR)
Publikováno v:
Axioms (2075-1680). Oct2023, Vol. 12 Issue 10, p983. 18p.
Publikováno v:
SIGMA 11 (2015), 032, 14 pages
In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schr\"odinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic "freak waves". We also study the dependency of
Externí odkaz:
http://arxiv.org/abs/1412.1562
Publikováno v:
AIP Conference Proceedings.
In the present paper we analyze the construction of fundamental analytic solutions (FAS) for the generalized Kulish-Sklyanin models (KSM) for vanishing (VBC) and constant boundary conditions (CBC). Using FAS one can reduce the direct and inverse scat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95b75de87085e502877a09304c2a3dd8
https://doi.org/10.1063/5.0101213
https://doi.org/10.1063/5.0101213
Akademický článek
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Publikováno v:
Journal of Mathematical Physics; Sep2018, Vol. 59 Issue 9, pN.PAG-N.PAG, 42p, 38 Graphs