关键词: Higher order generalized non-autonomous equation, Third order Korteweg-de
Vries equation with variable coefficients, Painlev′e analysis method

Abstract: There is a close relationship between the Painlev´e integrability and other
integrability of nonlinear evolution equation. By using the Weiss-Tabor-Carnevale (WTC)
method and the symbolic computation of Maple, the Painlev´e test is used for the higher
order generalized non-autonomous equation and the third order Korteweg-de Vries equation
with variable coefficients. Finally the Painlev´e integrability condition of this equation is
gotten.

Key words: Higher order generalized non-autonomous equation, Third order Korteweg-de
Vries equation with variable coefficients, Painlev′e analysis method