Bogoyavlenskij O. I., Peng Y.
Autotransforms for Some Differential Equations and Their Physical Applications
2020, vol. 25, no. 6, pp. 544-552
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.