  The general KdV equation (gKdV) derived by T. Chou is one of the famous (1+1)
dimensional soliton equations with variable coefficients. It is well-known that
the gKdV equation is integrable. In this paper a higher-dimensional gKdV
equation, which is integrable in the sense of the Painleve test, is presented.
A transformation that links this equation to the canonical form of the
Calogero-Bogoyavlenskii-Schiff equation is found. Furthermore, the form and
similar transformation for the higher-dimensional modified gKdV equation are
also obtained.
