CONSERVATION-LAWS OF A CLASS OF DIFFERENTIAL-EQUATIONS .2.

Authors
ELSHERBINY HM
Citation
Hm. Elsherbiny, CONSERVATION-LAWS OF A CLASS OF DIFFERENTIAL-EQUATIONS .2., Applied mathematics letters, 6(4), 1993, pp. 99-103
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
6
Issue
4
Year of publication
1993
Pages
99 - 103
Database
ISI
SICI code
0893-9659(1993)6:4<99:COACOD>2.0.ZU;2-R
Abstract
It is proved that unless a1/a2 is a multiple root of order three of th e algebraic equation a3 - a4lambda + a5lambda2 - a6lambda3 = 0, the cl ass of nonlinear evolution equation u(t) + u(x) + a1uu(x) + a2uu(t) a3u(xxx) + a4u(xxt) + a5u(xtt) + a6u(ttt) = 0 (where a(i) is-an-elemen t-of R, i = 1,2,...,6) has finite number of conservation laws; otherwi se, the class has infinite number of conservation laws.