Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Vaneeva, Olena"'
Publikováno v:
Commun. Nonlinear. Sci. Numer. Simulat. 91 (2020), 105419, 28 pp
Enhancing and essentially generalizing previous results on a class of (1+1)-dimensional nonlinear wave and elliptic equations, we apply several new techniques to classify admissible point transformations within this class up to the equivalence genera
Externí odkaz:
http://arxiv.org/abs/2002.08939
Transformation properties of a class of generalized Kawahara equations with time-dependent coefficients are studied. We construct the equivalence groupoid of the class and prove that this class is not normalized but can be presented as a union of two
Externí odkaz:
http://arxiv.org/abs/2001.00167
Publikováno v:
J. Geom. Phys. 169 (2021), 104336
We carry out the extended symmetry analysis of a two-dimensional degenerate Burgers equation. Its complete point-symmetry group is found using the algebraic method, and all its generalized symmetries are proved equivalent to its Lie symmetries. We al
Externí odkaz:
http://arxiv.org/abs/1908.01877
Publikováno v:
J. Math. Anal. Appl., Vol. 474, Issue 1, 2019, P. 264-275
A class of the Newell-Whitehead-Segel equations (also known as generalized Fisher equations and Newell-Whitehead equations) is studied with Lie and "nonclassical" symmetry points of view. The classifications of Lie reduction operators and of regular
Externí odkaz:
http://arxiv.org/abs/1809.05022
Publikováno v:
In Journal of Geometry and Physics November 2021 169
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:
V. Dobrev (ed.), Springer Proceedings in Mathematics & Statistics, Vol. 191. XI International Workshop Lie Theory and Its Application in Physics, Springer, 2016, P. 349-360
A class of (1+2)-dimensional diffusion-convection equations (nonlinear Kolmogorov equations) with time-dependent coefficients is studied with Lie symmetry point of view. The complete group classification is achieved using a gauging of arbitrary eleme
Externí odkaz:
http://arxiv.org/abs/1509.04481
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
Publikováno v:
Journal of Physics: Conference Series 621 (2015) 012016
Group classification of a class of Benjamin-Bona-Mahony (BBM) equations with time dependent coefficients is carried out. Two equivalent lists of equations possessing Lie symmetry extensions are presented: up to point equivalence within the class of B
Externí odkaz:
http://arxiv.org/abs/1506.08137