14 citations · 26 across the 6 of their papers we have counts for
9 papers
Qusicryslals in Vernam cipher
Maryna Nesterenko, Severin Posta
We propose a modification of the classical Vernam cipher based on properties of one-dimensional quasicrystals. The method uses the sequence of quasicrystal minimal distances as an…
Representations of Askey--Wilson algebra
Daniel Gromada, Severin Pošta
We deal with the classification problem of finite-dimensional representations of so called Askey--Wilson algebra in the case when is not a root of unity. We classify all repres…
Enhanced group classification of Benjamin-Bona-Mahony-Burgers equations
Olena Vaneeva, Severin Pošta, Christodoulos Sophocleous
A class of the Benjamin-Bona-Mahony-Burgers (BBMB) equations with time-dependent coefficients is investigated with the Lie symmetry point of view. The set of admissible transformat…
Equivalence groupoid of a class of variable coefficient Korteweg--de Vries equations
Olena Vaneeva, Severin Pošta
We classify the admissible transformations in a class of variable coefficient Korteweg--de Vries equations. As a result, full description of the structure of the equivalence groupo…
Realizations of Galilei algebras
Maryna Nesterenko, Severin Posta, Olena Vaneeva
All inequivalent realizations of the Galilei algebras of dimensions not greater than five are constructed using the algebraic approach proposed by I. Shirokov. The varieties of the…
Group analysis of generalized fifth-order Korteweg-de Vries equations with time-dependent coefficients
Oksana Kuriksha, Severin Pošta, Olena Vaneeva
We perform enhanced Lie symmetry analysis of generalized fifth-order Korteweg-de Vries equations with time-dependent coefficients. The corresponding similarity reductions are class…