6 papers
Voronoi limit measures for iterates of constant-coefficient differential operators on rational functions with simple poles
Bosco Nyandwi, Christian Hägg, Celestin Kurujyibwami +1
Bøgvad and Hägg proved that for a rational function with simple poles, the zeros of successive derivatives accumulate on the Voronoi diagram of the pole set, and the normalized zer…
Algebraic method of group classification for semi-normalized classes of differential equations
Celestin Kurujyibwami, Dmytro R. Popovych, Roman O. Popovych
We generalize the notion of semi-normalized classes of systems of differential equations, study properties of such classes and extend the algebraic method of group classification t…
Light-like parallel vector fields and Einstein equations of gravity
Isidore Mahara, Célestin Kurujyibwami, Venuste Nyagahakwa
We prove that, contrary to the situation with time-like and space-like parallel vector fields, there are real gravitational fields satisfying Einsteins equations of gravity and adm…
Transforming Stäckel Hamiltonians of Benenti type to polynomial form
Jean de Dieu Maniraguha, Krzysztof Marciniak, Célestin Kurujyibwami
In this paper we discuss two canonical transformations that turn Stäckel separable Hamiltonians of Benenti type into polynomial form: transformation to Viète coordinates and transf…
Equivalence groupoids and group classification of multidimensional nonlinear Schrödinger equations
Célestin Kurujyibwami, Roman O. Popovych
We study admissible and equivalence point transformations between generalized multidimensional nonlinear Schrödinger equations and classify Lie symmetries of such equations. We beg…
Algebraic method for group classification of (1+1)-dimensional linear Schrödinger equations
Célestin Kurujyibwami, Peter Basarab-Horwath, Roman O. Popovych
We carry out the complete group classification of the class of (1+1)-dimensional linear Schrödinger equations with complex-valued potentials. After introducing the notion of unifor…