Yuyang Peng
Publications:
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Bogoyavlenskij O. I., Peng Y.
Exact Solutions to the Beltrami Equation with a Non-constant $\alpha({\mathbf x})$
2021, vol. 26, no. 6, pp. 692-699
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.
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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. |