Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Alexander V. Shapovalov"'
Publikováno v:
Mathematics, Vol 12, Iss 4, p 580 (2024)
The nonlinear Schrödinger equation (NLSE) with a non-Hermitian term is the model for various phenomena in nonlinear open quantum systems. We deal with the Cauchy problem for the nonlocal generalization of multidimensional NLSE with a non-Hermitian t
Externí odkaz:
https://doaj.org/article/ec8c93208ef4496d855737cbfcbf0f0a
Autor:
Alexander V. Shapovalov
Publikováno v:
Symmetry, Vol 15, Iss 4, p 905 (2023)
Discrete kinetic equations describing binary processes of agglomeration and fragmentation are considered using formal equivalence between the kinetic equations and the geodesic equations of some affinely connected space A associated with the kinetic
Externí odkaz:
https://doaj.org/article/933abbcc51bb49b3bfba6f2b46b1f1cb
Publikováno v:
Mathematics, Vol 11, Iss 3, p 584 (2023)
The one-parameter two-dimensional cellular automaton with the Margolus neighbourhood is analyzed based on considering the projection of the stochastic movements of a single particle. Introducing the auxiliary random variable associated with the direc
Externí odkaz:
https://doaj.org/article/ae9bab6b4bee443d9a84d470c99c0db0
Publikováno v:
Symmetry, Vol 14, Iss 3, p 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:
https://doaj.org/article/ad6c0af071b24250b6bfc559c39dd3f1
Publikováno v:
Mathematics, Vol 9, Iss 23, p 2995 (2021)
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
Externí odkaz:
https://doaj.org/article/0a22f9133cbe46658ed91b59ea14f65b
Publikováno v:
Symmetry, Vol 13, Iss 7, p 1289 (2021)
We propose the approach to constructing semiclassical spectral series for the generalized multidimensional stationary Gross–Pitaevskii equation with a nonlocal interaction term. The eigenvalues and eigenfunctions semiclassically concentrated on a c
Externí odkaz:
https://doaj.org/article/12709586083548aaa21666795dc0c2ce
Publikováno v:
Symmetry, Vol 12, Iss 2, p 201 (2020)
We propose an approach to constructing semiclassical solutions for the generalized multidimensional Gross−Pitaevskii equation with a nonlocal interaction term. The key property of the solutions is that they are concentrated on a one-dimensional man
Externí odkaz:
https://doaj.org/article/e1c3c01435ec417eaf79ad17c65d249e
Publikováno v:
Symmetry, Vol 11, Iss 3, p 366 (2019)
We propose an approximate analytical approach to a ( 1 + 1 ) dimensional two-component system consisting of a nonlocal generalization of the well-known Fisher–Kolmogorov–Petrovskii– Piskunov (KPP) population equation and a diffusion equation fo
Externí odkaz:
https://doaj.org/article/e9f747729a2e44b6a396dfca38b2de68
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 005 (2007)
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:
https://doaj.org/article/9b9dd301414240e0a7df0eaff3fcb38a
Publikováno v:
Materials Science Forum. 931:1031-1036
The manifestations of climatic changes on the territory of the south of the European part of Russia are considered. The estimates for the changes in the seasonal and annual average, maximum and minimum air temperatures, in the seasonal and annual sum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6677ae8f30f6ba3f5bca4fe01702a388
https://doi.org/10.4028/www.scientific.net/msf.931.1031
https://doi.org/10.4028/www.scientific.net/msf.931.1031