Oleg Bogoyavlenskij

_oib@queensu.ca

Publications:

Bogoyavlenskij O. I., Peng Y.
Autotransforms for Some Differential Equations and Their Physical Applications
2020, vol. 25, no. 6, pp.  544-552
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
Citation: Bogoyavlenskij O. I., Peng Y.,  Autotransforms for Some Differential Equations and Their Physical Applications, Regular and Chaotic Dynamics, 2020, vol. 25, no. 6, pp. 544-552
DOI:10.1134/S1560354720060040

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