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2013
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# Yuyang Peng

## Publications:

 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. Keywords: ideal fluid equilibria, force-free plasma equilibria, Klein – Gordon equation, Yukawa potential, Beltrami equation Citation: Bogoyavlenskij O. I., Peng Y.,  Exact Solutions to the Beltrami Equation with a Non-constant $\alpha({\mathbf x})$, Regular and Chaotic Dynamics, 2021, vol. 26, no. 6, pp. 692-699 DOI:10.1134/S1560354721060071
 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