most citedAdmissible transformations and Lie symmetries of linear systems of second-order ordinary differential equations

6 citations · 6 across the 1 of their papers we have counts for

collaborators

2 papers

math.CA2021★ 6 cited

Admissible transformations and Lie symmetries of linear systems of second-order ordinary differential equations

Vyacheslav M. Boyko, Oleksandra V. Lokaziuk, Roman O. Popovych

We revisit the results on admissible transformations between normal linear systems of second-order ordinary differential equations with an arbitrary number of dependent variables u…

math-ph2020

Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein-Gordon equations

Vyacheslav M. Boyko, Oleksandra V. Lokaziuk, Roman O. Popovych

Essentially generalizing Lie's results, we prove that the contact equivalence groupoid of a class of (1+1)-dimensional generalized nonlinear Klein-Gordon equations is the first-ord…