3 papers
math-ph2026
Hidden symmetries, hidden conservation laws and exact solutions of dispersionless Nyzhnyk equation
Oleksandra O. Vinnichenko, Vyacheslav M. Boyko, Roman O. Popovych
Among Lie submodels of the (real symmetric potential) dispersionless Nyzhnyk equation, we single out a remarkable submodel as such that, despite being the only one, is associated w…
math.CA2024
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-ph2024
Lie reductions and exact solutions of dispersionless Nizhnik equation
Oleksandra O. Vinnichenko, Vyacheslav M. Boyko, Roman O. Popovych
We exhaustively classify the Lie reductions of the real dispersionless Nizhnik equation to partial differential equations in two independent variables and to ordinary differential…