TIME-DEPENDENT SYMMETRIES OF VARIABLE-COEFFICIENT EVOLUTION-EQUATIONSAND GRADED LIE-ALGEBRAS

Authors
MA WX BULLOUGH RK CAUDREY PJ FUSHCHYCH WI
Citation
Wx. Ma et al., TIME-DEPENDENT SYMMETRIES OF VARIABLE-COEFFICIENT EVOLUTION-EQUATIONSAND GRADED LIE-ALGEBRAS, Journal of physics. A, mathematical and general, 30(14), 1997, pp. 5141-5149
Citations number
19
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
14
Year of publication
1997
Pages
5141 - 5149
Database
ISI
SICI code
0305-4470(1997)30:14<5141:TSOVE>2.0.ZU;2-Y
Abstract
Polynomial-in-time dependent symmetries are analysed for polynomial-in -time dependent evolution equations. Graded Lie algebras, especially V irasoro algebras, are used to construct nonlinear variable-coefficient evolution equations, both in 1+1 dimensions and in 2+1 dimensions, wh ich possess higher-degree polynomial-in-time dependent symmetries. The theory also provides a kind of new realization of graded Lie algebras . Some illustrative examples ate given.