Yuyang Peng


Bogoyavlenskij O. I., Peng Y.
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
Bogoyavlenskij O. I., Peng Y.
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

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