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Regular and Chaotic Dynamics, 2020, Volume 25, Issue 6, Pages 544–552
DOI: https://doi.org/10.1134/S1560354720060040 (Mi rcd1083) 		 
Autotransforms for Some Differential Equations and Their Physical Applications

Oleg I. Bogoyavlenskij, Yuyang Peng

Department of Mathematics and Statistics, Queen’s University, Kingston, K7L 3N6 ON, Canada
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DOI: https://doi.org/10.1134/S1560354720060040
Abstract: General constructions of differential equations with autotransforms are presented. Differential operators connecting a linear case of the Grad – Shafranov equation and the axisymmetric Helmholtz equation are found. Infinite families of exact solutions to both equations are derived.
Keywords: differential operators, Grad – Shafranov equation, force-free plasma equilibria, exact solutions, Helmholtz equation.
Received: 09.07.2020
Accepted: 07.09.2020
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Document Type: Article
MSC: 35Q35
Language: English
Citation: Oleg I. Bogoyavlenskij, Yuyang Peng, “Autotransforms for Some Differential Equations and Their Physical Applications”, Regul. Chaotic Dyn., 25:6 (2020), 544–552
Citation in format AMSBIB
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\by Oleg I. Bogoyavlenskij, Yuyang Peng
\paper Autotransforms for Some Differential Equations and Their Physical Applications
\jour Regul. Chaotic Dyn.
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\vol 25
\issue 6
\pages 544--552
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