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Regular and Chaotic Dynamics, 2021, Volume 26, Issue 6, Pages 692–699
DOI: https://doi.org/10.1134/S1560354721060071 (Mi rcd1139) 		 
Regular Papers

Exact Solutions to the Beltrami Equation with a Non-constant $\alpha (\mathbf{x})$

Oleg Bogoyavlenskij, Yuyang Peng

Departrment of Mathematics and Statistics, Queen’s University, Kingston, K7L 3N6 ON, Canada
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DOI: https://doi.org/10.1134/S1560354721060071
Abstract: Infinite families of new exact solutions to the Beltrami equation with a non-constant $\alpha (\mathbf{x})$ are derived. Differential operators connecting the steady axisymmetric Klein – Gordon equation and a special case of the Grad – Shafranov equation are constructed. A Lie semi-group of nonlinear transformations of the Grad – Shafranov equation is found.
Keywords: ideal fluid equilibria, force-free plasma equilibria, Klein – Gordon equation, Yukawa potential, Beltrami equation.
Received: 05.07.2021
Accepted: 31.08.2021
Bibliographic databases:
Document Type: Article
MSC: 35-XX, 76-XX
Language: English
Citation: Oleg Bogoyavlenskij, Yuyang Peng, “Exact Solutions to the Beltrami Equation with a Non-constant $\alpha (\mathbf{x})$”, Regul. Chaotic Dyn., 26:6 (2021), 692–699
Citation in format AMSBIB
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\by Oleg Bogoyavlenskij, Yuyang Peng
\paper Exact Solutions to the Beltrami Equation with a Non-constant $\alpha (\mathbf{x})$
\jour Regul. Chaotic Dyn.
\yr 2021
\vol 26
\issue 6
\pages 692--699
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\crossref{https://doi.org/10.1134/S1560354721060071}
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