Painleve Property And Group Symmetries Of The Generalized Korteweg-Devries Equation
Abbreviated Journal Title
PARTIAL-DIFFERENTIAL EQUATIONS; STABILITY; WAVES; Physics, Multidisciplinary
In this paper we consider some of the analytic properties of the generalized Korteweg-de Vries equation u(t) + u(p)u(x) + u(xxx) = 0. We study the Lie group symmetries of the equation and show that for p > 2 there is a three parameter group and if p = 1 or 2 the group has four parameters. The Painleve property is shown to be not satisfied when p > 2. The variational symmetries are also considered and are shown to lead to the only three known conservation laws for general p.
"Painleve Property And Group Symmetries Of The Generalized Korteweg-Devries Equation" (1994). Faculty Bibliography 1990s. 1166.