SYMMETRIES AND INFINITE-DIMENSIONAL LIE-ALGEBRA OF THE VARIABLE-COEFFICIENT KDV EQUATIONS

Authors
RUAN HY LOU SY
Citation
Hy. Ruan et Sy. Lou, SYMMETRIES AND INFINITE-DIMENSIONAL LIE-ALGEBRA OF THE VARIABLE-COEFFICIENT KDV EQUATIONS, Communications in Theoretical Physics, 20(3), 1993, pp. 375-380
Citations number
17
Categorie Soggetti
Physics
Journal title
Communications in Theoretical Physics → ACNP
ISSN journal
02536102
Volume
20
Issue
3
Year of publication
1993
Pages
375 - 380
Database
ISI
SICI code
0253-6102(1993)20:3<375:SAILOT>2.0.ZU;2-N
Abstract
With the help of the conditional strong symmetry, we obtain the K symm etries, r symmetries, infinite dimensional Lie algebra and the corresp onding infinite conservation quantities of the variable coefficient Kd V equation )(t)(u(xxx)+6uu(x))+4h(2)(t)u(x)-h(0)(t)(2u+xu(x)) with h(0 ), h(1) and h(2) being three arbitrary functions of t.