Journal of Nonlinear Mathematical Physics

Volume 9, Issue Supplement 2, September 2002, Pages 49 - 59

Basis of Joint Invariants for (1 + 1) Linear Hyperbolic Equations

Authors
I K, F M MAHOMED, C WAFO SOH
Corresponding Author
I K
Received 1 January 2002, Available Online 2 September 2002.
DOI
https://doi.org/10.2991/jnmp.2002.9.s2.5How to use a DOI?
Abstract
We obtain a basis of joint or proper differential invariants for the scalar linear hperbolic partial differential equation in two independent variables by the infinitesimal method. The joint invariants of the hyperbolic equation consist of combinations of the coefficients of the equation and their derivatives which remain invariant under equivalence transformations of the equation and are useful for classification purposes. We also derive the operators of invariant differentiation for this type of equation. Futhermore, we show that the other differential invariants are functions of the elements of this basis via their invariant derivatives. Applications to hyperbolic equations that are reducible to their Lie canonical forms are provided.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - 100
Pages
49 - 59
Publication Date
2002/09
ISBN
91-631-2869-1
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2002.9.s2.5How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - I K
AU  - F M MAHOMED
AU  - C WAFO SOH
PY  - 2002
DA  - 2002/09
TI  - Basis of Joint Invariants for (1 + 1) Linear Hyperbolic Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 49
EP  - 59
VL  - 9
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2002.9.s2.5
DO  - https://doi.org/10.2991/jnmp.2002.9.s2.5
ID  - K2002
ER  -