Autotransforms for Some Differential Equations and Their Physical Applications

    2020, Volume 25, Number 6, pp.  544-552

    Author(s): 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, Volume 25, Number 6, pp. 544-552
    DOI: 10.1134/S1560354720060040



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