Author: Arthemy V. KISELEV

Baecklund autotransformation for the hyperbolic Liouville equation, Baecklund transformation between the latter equation and the wave equation, and Baecklund transformation between the Liouville equation and the scal⁺-Liouville equation are integrated in nonlocal variables. For the Liouville equation, shadows of nonlocal symmetries are obtained, and these shadows are extended up to true nonlocal symmetries in non-abelian coverings. Nonlocal classical conservation laws are reconstructed for the latter equation.

10 pages, LaTeX-2e (AmSLaTeX).

To compile source files (.tex) one needs the title page style files titlatex.tex.