Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Shapovalov, Alexander V."'
We deal with the $n$-dimensional nonlinear Schr\"{o}dinger equation (NLSE) with a cubic nonlocal nonlinearity and an anti-Hermitian term, which is widely used model for the study of open quantum system. We construct asymptotic solutions to the Cauchy
Externí odkaz:
http://arxiv.org/abs/2408.08532
Publikováno v:
Symmetry 14, no. 3: 577 (2022)
We apply the original semiclassical approach to the kinetic ionization equation with the nonlocal cubic nonlinearity in order to construct the family of its asymptotic solutions. The approach proposed relies on an auxiliary dynamical system of moment
Externí odkaz:
http://arxiv.org/abs/2203.02333
Publikováno v:
Mathematics 2021, 9(23), 2995
A semiclassical approach based on the WKB-Maslov method is developed for the kinetic ionization equation in dense plasma with approximations characteristic of metal vapor active media excited by a contracted discharge. We develop the technique for co
Externí odkaz:
http://arxiv.org/abs/2111.05074
Autor:
Kulagin, Anton E.1 (AUTHOR) aek8@tpu.ru, Shapovalov, Alexander V.2,3 (AUTHOR) aek8@tpu.ru
Publikováno v:
Mathematics (2227-7390). Feb2024, Vol. 12 Issue 4, p580. 22p.
Akademický článek
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Autor:
Shapovalov, Alexander V.1,2 (AUTHOR) shpv@mail.tsu.ru
Publikováno v:
Symmetry (20738994). Apr2023, Vol. 15 Issue 4, p905. 16p.
Autor:
Kulagin, Anton E.1 (AUTHOR) aek8@tpu.ru, Shapovalov, Alexander V.2,3 (AUTHOR) aek8@tpu.ru
Publikováno v:
Mathematics (2227-7390). Feb2023, Vol. 11 Issue 3, p584. 18p.
Publikováno v:
SIGMA 3 (2007), 005, 16 pages
The Cauchy problem for the Fokker-Plank-Kolmogorov equation with a nonlocal nonlinear drift term is reduced to a similar problem for the correspondent linear equation. The relation between symmetry operators of the linear and nonlinear Fokker-Plank-K
Externí odkaz:
http://arxiv.org/abs/math-ph/0701012
Publikováno v:
Russian physics journal. 2022. Vol. 65, № 4. P. 663-670
The paper considers a kinetic model of a single-stage process, which is an element of a multi-stage process for producing titanium dioxide. The effect of external influences and the problem of optimizing parameters are regarded as a necessary stage f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e9607ff031aa53d942bb5ef3f62dd1d
https://doi.org/10.17223/00213411/65/4/70
https://doi.org/10.17223/00213411/65/4/70
Publikováno v:
Russian physics journal. 2021. Vol. 64, № 8. P. 1542-1552
The general construction of the Cauchy problem solution for the one-dimensional nonlocal population Fisher– KPP equation is briefly described in terms of semiclassical asymptotics based on the complex WKB-Maslov method. For the particular case of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5710e5123875615d87e5ae3cf623c32
https://doi.org/10.1007/s11182-021-02488-y
https://doi.org/10.1007/s11182-021-02488-y