Equivalence transformations of families of quasi-linear elliptic equations of the second order of a function of two variables
https://doi.org/10.29235/1561-2430-2026-62-1-27-37
Abstract
In this work, we search for infinitesimal equivalence transformations of 16 families of quasi-linear elliptic equations of the second order in two variables. A symmetry reduction has been performed for the families of equations utt + uxx = f(t,x,u), utt + uxx = f(x,u).
About the Author
D. S. Zhalukevich
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
Dzianis S. Zhalukevich – Applicant, Department of Differential Equations
11, Surganov Str., 220072, Minsk
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