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nlin.SI2024
Contact germs and partial differential equations
O. V. Kaptsov
The article introduces contact germs that transform solutions of some partial differential equations into solutions of other equations. Parametric symmetries of differential equati…
nlin.SI2004
Characteristic invariants and Darboux's method
O. V. Kaptsov, A. V. Zabluda
We develop method that allows to derive reductions and solutions to hyperbolic systems of partial differential equations. The method is based on using functions that are constant i…