143 citations · 2.7k across the 108 of their papers we have counts for
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math-ph2001★ 8 cited
Differential Invariants and Application to Riccati-Type Systems
Roman Popovych, Vyacheslav Boyko
We generalize the classical Lie results on a basis of differential invariants for a one-parameter group of local transformations to the case of arbitrary number of independent and…
math-ph2001★ 3 cited
Group Classification of Generalised Eikonal Equations
Roman O. Popovych, Irina A. Yehorchenko
A new approach to the problem of group classification is applied to the class of first-order non-linear equations of the form . It allowed complete solution of…