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This article is cited in 6 scientific papers (total in 6 papers)
Multi-particle Dynamical Systems and Polynomials
Maria V. Demina, Nikolai A. Kudryashov National Research Nuclear University “MEPhI”, Kashirskoe sh. 31, Moscow, 115409, Russia
Abstract:
Polynomial dynamical systems describing interacting particles in the plane are studied. A method replacing integration of a polynomial multi-particle dynamical system by finding polynomial solutions of partial differential equations is introduced. The method enables one to integrate a wide class of polynomial multi-particle dynamical systems. The general solutions of certain dynamical systems related to linear second-order partial differential equations are found. As a by-product of our results, new families of orthogonal polynomials are derived.
Keywords:
multi-particle dynamical systems, polynomial solutions of partial differential equations, orthogonal polynomials.
Received: 11.12.2015 Accepted: 06.05.2016
Citation:
Maria V. Demina, Nikolai A. Kudryashov, “Multi-particle Dynamical Systems and Polynomials”, Regul. Chaotic Dyn., 21:3 (2016), 351–366
Linking options:
https://www.mathnet.ru/eng/rcd82 https://www.mathnet.ru/eng/rcd/v21/i3/p351
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Abstract page: | 244 | References: | 49 |
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