ON THE SYMMETRY GROUPS OF THE INTRINSIC GENERALIZED WAVE AND SINE-GORDON EQUATIONS

Authors
TENENBLAT K WINTERNITZ P
Citation
K. Tenenblat et P. Winternitz, ON THE SYMMETRY GROUPS OF THE INTRINSIC GENERALIZED WAVE AND SINE-GORDON EQUATIONS, Journal of mathematical physics, 34(8), 1993, pp. 3527-3542
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
34
Issue
8
Year of publication
1993
Pages
3527 - 3542
Database
ISI
SICI code
0022-2488(1993)34:8<3527:OTSGOT>2.0.ZU;2-A
Abstract
The intrinsic generalized sine-Gordon and wave equations are integrabl e n-dimensional generalizations of the sine-Gordon and wave equations, respectively. It is shown that their Lie-point symmetry groups are fi nite-dimensional. They consist only of translations in the first case and translations and dilations in the second. The symmetries are used to obtain classes of exact invariant solutions.