Moscow State Technical University of Civil Aviation

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20042020

most citedContact Integrable Extensions of Symmetry Pseudo-Group and Coverings of the r-th Modified Dispersionless Kadomtsev -- Petviashvili Equation

29 citations

researchers with a paper here

collaborating institutions

8 papers

math.RA2020★ 12 cited

$V$ -universal Hopf algebras (co)acting on $Ω$ -algebras

Ana Agore, Alexey Gordienko, Joost Vercruysse

We develop a theory which unifies the universal (co)acting bi/Hopf algebras as studied by Sweedler, Manin and Tambara with the recently introduced \cite{AGV1} bi/Hopf-algebras that…

math.RA2018★ 4 cited

Equivalences of (co)module algebra structures over Hopf algebras

Ana Agore, Alexey Gordienko, Joost Vercruysse

We introduce the notion of support equivalence for (co)module algebras (over Hopf algebras), which generalizes in a natural way (weak) equivalence of gradings. We show that for eac…

math.RA2018

Categories and weak equivalences of graded algebras

Alexey Gordienko, Ofir Schnabel

When one studies the structure (e.g. graded ideals, graded subspaces, radicals, ...) or graded polynomial identities of graded algebras, the grading group itself does not play an i…

nlin.PS2017★ 2 cited

Modelling Solutions to the Kdv-Burgers Equation in the Case of Non-homogeneous Dissipative Media

Alexey Samokhin

We study the behavior of the soliton which, while moving in non-dissipative medium encounters a barrier with finite dissipation. The modelling included the case of a finite dissipa…

math.DG2008★ 29 cited

Contact Integrable Extensions of Symmetry Pseudo-Group and Coverings of the r-th Modified Dispersionless Kadomtsev -- Petviashvili Equation

Oleg I. Morozov

We apply the technique of integrable extensions to the symmetry pseudo-group of the r-th mdKP equation. This gives another look on deriving known coverings and allows us to find ne…

nlin.SI2008

Cartan's structure of symmetry pseudo-group and coverings for the r-th modified dispersionless Kadomtsev--Petviashvili equation