Family of Asymptotic Solutions to the Two-Dimensional Kinetic Equation with a Nonlocal Cubic Nonlinearity; Symmetry; Vol. 14, iss. 3

Family of Asymptotic Solutions to the Two-Dimensional Kinetic Equation with a Nonlocal Cubic Nonlinearity; Symmetry; Vol. 14, iss. 3

Detalles Bibliográficos
Parent link:	Symmetry Vol. 14, iss. 3.— 2022.— [577, 20 p.]
Autor principal:	Shapovalov A. V. Aleksandr Vasiljevich
Autor Corporativo:	Национальный исследовательский Томский политехнический университет Инженерная школа неразрушающего контроля и безопасности Отделение электронной инженерии
Otros Autores:	Kulagin A. E. Anton Evgenievich, Sinyukov S. A. Sergey Aleksandrovich
Sumario:	Title screen 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 moments of the desired solution to the kinetic equation and the associated linear partial differential equation. The family of asymptotic solutions to the kinetic equation is constructed using the symmetry operators acting on functions concentrated in a neighborhood of a point determined by the dynamical system. Based on these solutions, we introduce the nonlinear superposition principle for the nonlinear kinetic equation. Our formalism based on the Maslov germ method is applied to the Cauchy problem for the specific two-dimensional kinetic equation. The evolution of the ion distribution in the kinetically enhanced metal vapor active medium is obtained as the nonlinear superposition using the numerical-analytical calculations.
Lenguaje:	inglés
Publicado:	2022
Materias:	электронный ресурс труды учёных ТПУ kinetic model symmetry operators Maslov germ nonlinear superposition principle dense plasma active media semiclassical approximation WKB–Maslov method кинетические модели плотная плазма квазиклассическое приближение ионизация кинетические уравнения метод Маслова
Acceso en línea:	http://earchive.tpu.ru/handle/11683/70718 https://doi.org/10.3390/sym14030577
Formato:	Electrónico Capítulo de libro
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=667762

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