Contact-equivalence problem for linear hyperbolic equations |
| |
Authors: | O I Morozov |
| |
Institution: | (1) Department of Mathematics, Moscow State Technical University of Civil Aviation, Kronshtadtskiy Blvd. 20, Moscow, 125993, Russia |
| |
Abstract: | We consider the local equivalence problem for the class of linear second-order hyperbolic equations in two independent variables
under an action of the pseudo-group of contact transformations. é. Cartan’s method is used for finding the Maurer-Cartan forms
for symmetry groups of equations from the class and computing structure equations and complete sets of differential invariants
for these groups. The solution of the equivalence problem is formulated in terms of these differential invariants.
__________
Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 25, pp. 119–142, 2005. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|