Lie symmetries of two-dimensional shallow water equations with variable bottom topography

A Bihlo, N Poltavets, RO Popovych - Chaos: An Interdisciplinary …, 2020 - pubs.aip.org
We carry out the group classification of the class of two-dimensional shallow water
equations with variable bottom topography using an optimized version of the method of …

Lie reductions and exact solutions of dispersionless Nizhnik equation

OO Vinnichenko, VM Boyko, RO Popovych - Analysis and Mathematical …, 2024 - Springer
We exhaustively classify the Lie reductions of the real dispersionless Nizhnik equation to
partial differential equations in two independent variables and to ordinary differential …

Point-and contact-symmetry pseudogroups of dispersionless Nizhnik equation

VM Boyko, RO Popovych, OO Vinnichenko - Communications in Nonlinear …, 2024 - Elsevier
Applying an original megaideal-based version of the algebraic method, we compute the
point-symmetry pseudogroup of the dispersionless (potential symmetric) Nizhnik equation …