Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Posta, Severin"'
Autor:
Gromada, Daniel, Pošta, Severin
We study realizations of Lie algebras by vector fields. A correspondence between classification of transitive local realizations and classification of subalgebras is generalized to the case of regular local realizations. A reasonable classification p
Externí odkaz:
http://arxiv.org/abs/1703.00808
Autor:
Gromada, Daniel, Pošta, Severin
We deal with the classification problem of finite-dimensional representations of so called Askey--Wilson algebra in the case when $q$ is not a root of unity. We classify all representations satisfying certain property, which ensures diagonalizability
Externí odkaz:
http://arxiv.org/abs/1702.08237
Publikováno v:
Applied Mathematics Letters 65 (2017) 19-25
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 transformations of the class is described exhaustively. The complete group classi
Externí odkaz:
http://arxiv.org/abs/1608.03941
Autor:
Vaneeva, Olena, Pošta, Severin
Publikováno v:
Journal of Mathematical Physics (2017) 58, 101504
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 groupoid of the class is given. The class under study is partitioned into si
Externí odkaz:
http://arxiv.org/abs/1604.06880
Publikováno v:
J. Phys. A: Math. Theor. 2016, V. 49, no. 11, 115203, 26 pp
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 deformed Galilei algebras are discussed and families of one-parametri
Externí odkaz:
http://arxiv.org/abs/1509.00233
We perform enhanced Lie symmetry analysis of generalized fifth-order Korteweg-de Vries equations with time-dependent coefficients. The corresponding similarity reductions are classified and some exact solutions are constructed.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1402.0347
We carry out group analysis of a class of generalized fifth-order Korteweg-de Vries equations with time dependent coefficients. Admissible transformations, Lie symmetries and similarity reductions of equations from the class are classified exhaustive
Externí odkaz:
http://arxiv.org/abs/1401.7155
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 045201
An exhaustive group classification of variable coefficient generalized Kawahara equations is carried out. As a result, we derive new variable coefficient nonlinear models admitting Lie symmetry extensions. All inequivalent Lie reductions of these equ
Externí odkaz:
http://arxiv.org/abs/1309.7161
Publikováno v:
J. Phys. A: Math. Theor. 45 (2012) 045201
New class of special functions of three real variables, based on the alternating subgroup of the permutation group $S_3$, is studied. These functions are used for Fourier-like expansion of digital data given on lattice of any density and general posi
Externí odkaz:
http://arxiv.org/abs/1202.0490
Publikováno v:
In Applied Mathematics Letters March 2017 65:19-25
