Cover Image

Three- dimensional Lie algebras for a one class of wave equations

We have completely solved the problem of description of quasi-linear hyperbolic-type differential equations in two independent variables that areinvariant under one-dimensional, two-dimensional, three-dimensional split solvable Lie algebras.

Saved in:

Bibliographic Details
Date:	2017
Author Affiliations:	О. В. Магда — Київський національний економічний університет імені Вадима Гетьмана
Keywords:	keywords
Main Authors:	Magda, O. V., Магда, О. В.
Format:	Article
Language:	Ukrainian
Published:	Інститут математики НАН України 2017
Online Access:	https://trim.imath.kiev.ua/index.php/trim/article/view/113
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Transactions of Institute of Mathematics of NAS of Ukraine
Download file:

Institution

Transactions of Institute of Mathematics of NAS of Ukraine

Similar Items

Three-dimensional Lie algebras for a one class of wave equations
by: O. V. Mahda
Published: (2017)

Symmetry groups admitted by one class of wave equations
by: Magda, O., et al.
Published: (2006)

Symmetric properties of one class of hyperbolic type equations
by: Magda, O. V., et al.
Published: (2015)

Finite-dimensional subalgebras in polynomial Lie algebras of rank one
by: Arzhantsev, I.V., et al.
Published: (2011)

Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical
by: S. A. Plaksa, et al.
Published: (2013)

Realizations of two five-dimensional Lie algebras
by: Lutfullin, M., et al.
Published: (2006)

$(1{+}1)$-dimensional evolution equations of the second order with maximal Lie symmetry algebras
by: Boyko, V., et al.
Published: (2019)

Systems of second-order differential equations invariant with respect to low-dimensional Lie algebras
by: Gaponova, O., et al.
Published: (2006)

Coadjoint Orbits of Lie Algebras and Cartan Class
by: Goze, M., et al.
Published: (2019)

The Cauchy type integral on the straight line in three-dimensional harmonic algebra with one-dimensional radical
by: R. P. Pukhtaievych, et al.
Published: (2015)

The Cauchy type integral on the straight line in three-dimensional harmonic algebra with one-dimensional radical
by: Pukhtaievych, R. P., et al.
Published: (2015)

Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras
by: Accardi, L., et al.
Published: (2009)

On one class of algebras
by: Zhuchok, Yuliia V.
Published: (2018)

On one class of algebras
by: Yu. V. Zhuchok
Published: (2014)

On one class of algebras
by: Zhuchok, Yul.V.
Published: (2014)

Solvable Lie algebras of derivations of polynomial rings in three variables
by: Chapovskyi, Ie. Yu.; Чаповський І. Є.; Київський національний університет ім. Тараса Шевченка, Київ, et al.
Published: (2018)

Solvable Lie algebras of derivations of polynomial rings in three variables
by: Ie. Yu. Chapovskyi, et al.
Published: (2018)

Leibniz Algebras and Lie Algebras
by: Mason, G., et al.
Published: (2013)

Quasigraded Lie Algebras and Modified Toda Field Equations
by: Skrypnyk, T.V.
Published: (2006)

Solvable Lie Algebras of Vector Fields and a Lie's Conjecture
by: Grabowska, Katarzyna, et al.
Published: (2020)

Invariant Totally Geodesic Unit Vector Fields on Three-Dimensional Lie Groups
by: Yampolsky, A.
Published: (2007)

Hausdorff analytic functions in a three-dimensional associative noncommutative algebra
by: V. Shpakivskyi, et al.
Published: (2022)

On the Logarithmic Residues of Monogenic functions in a Three-Dimensional Harmonic Algebra with Two-Dimensional Radical
by: S. A. Plaksa, et al.
Published: (2013)

Monogenic functions in a three-dimensional harmonic semi-simple algebra
by: R. P. Pukhtaievych
Published: (2013)

Three-Dimensional Magnetogradient Waves in the Upper Earth’s Atmosphere
by: Gvelesiani, A. I., et al.
Published: (2012)

Describing certain Lie algebra orbits via polynomial equations
by: Ivanova, N., et al.
Published: (2019)

Realizations of affine Lie algebras
by: Futorny, V.
Published: (2005)

Green&#039;s function of the three-dimensional convective wave equation for an infinite straight pipe
by: A. O. Borysiuk
Published: (2015)

Cohomogeneity One Dynamics on Three Dimensional Minkowski Space
by: P. Ahmadi
Published: (2019)

On a Lie Algebraic Characterization of Vector Bundles
by: B.A. Lecomte, P., et al.
Published: (2012)

Realizations of affine Lie algebras
by: Futorny, Vyacheslav
Published: (2018)

On Deformations and Contractions of Lie Algebras
by: Fialowski, A., et al.
Published: (2006)

On Lie Algebroids and Poisson Algebras
by: García-Beltrán, D., et al.
Published: (2012)

Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation
by: Jiang, Jun, et al.
Published: (2020)

Lie-algebraic structure of (2 + 1)-dimensional Lax-type integrable nonlinear dynamical systems
by: Prykarpatsky, A.K., et al.
Published: (2004)

Sound insulation properties of one-dimensional three-layered plate
by: L. A. Igumnov, et al.
Published: (2013)

Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups
by: Sushchansky, V.I., et al.
Published: (2005)

The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras
by: Abdelwahab, Hani, et al.
Published: (2024)

Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type
by: Vassiliou, P.J.
Published: (2013)

Induced Modules for Affine Lie Algebras
by: Futorny, V., et al.
Published: (2009)