SYMMETRY ALGEBRAS OF GENERALIZED (2-DIMENSIONAL KDV EQUATION(1))

Generalized symmetries with arbitrary functions of time t for the gene ralized (2 + 1)-dimensional KdV equation was founded by establishing a formal theory of obtaining the solution of one type of higher dimensi onal PDEs due to LOU (Refs [6]-[9]). These symmetries constitute an in finite dimensional Lie algebra which is a generalization to the well-k nown w(infinity) algebra. Obviously, the corresponding symmetry algebr a is isomorphic to that of the Kadomtsev-Petviashvili (KP) equation.