Multidimensional exact solutions of a class of elliptic systems

zbMath1338.35126MaRDI QIDQ278544

Edward Ivanovich Semenov, Alexander Arkad'evich Kosov

Publication date: 2 May 2016

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://isu.ru/journal/downloadArticle?article=_1d0cb54187df423c961c696cf8fe1bf9&lang=rus

zbMATH Keywords

nonlinear systemsexact solutionsequations of elliptic typemodel of magnetic insulation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Statistical mechanics of plasmas (82D10) Solutions to PDEs in closed form (35C05) Vlasov equations (35Q83) Boltzmann equations (35Q20) PDEs in connection with statistical mechanics (35Q82)

Related Items (1)

Reduction and construction of exact solutions for a nonlinear system of the parabolic type

Cites Work

• Branching solutions of nonlinear differential equations of \(n\)-th order
• On the construction of the first integrals for a special class of nonlinear systems
• Solutions of the Vlasov equation for charged particle beam in magnetic field
• Integrable models of magnetic insulation and their exact radially symmetric solutions
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