Characteristic Algebras of Fully Discrete Hyperbolic Type Equations
The notion of the characteristic Lie algebra of the discrete hyperbolic type equation is introduced. An effective algorithm to compute the algebra for the equation given is suggested. Examples and further applications are discussed.
Main Author: | Ismagil T. Habibullin |
---|---|
Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2005-12-01
|
Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://www.emis.de/journals/SIGMA/2005/Paper023/ |
Similar Items
-
The invariant solution with blow-up for the gas dynamics equations from one-parameter three-dimensional subalgebra consisting of space, Galilean and pressure translations
by: Dilara Siraeva
Published: (2024-01-01) -
Conservation Laws and Travelling Wave Solutions for a Negative-Order KdV-CBS Equation in 3+1 Dimensions
by: Maria Luz Gandarias, et al.
Published: (2022-09-01) -
Matrix-valued Bratu equation and the exact solution of its initial value problem
by: Hiroto Inoue
Published: (2020-12-01) -
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
by: Rustem Garifullin, et al.
Published: (2012-09-01) -
First-Order Sign-Invariants and Exact Solutions of the Radially Symmetric Nonlinear Diffusion Equations with Gradient-Dependent Diffusivities
by: Lina Ji, et al.
Published: (2022-02-01)