Characteristic Manifold and Painleve Integrability：Fifth—Order Schwarzian Korteweg—de vries Type Equation

The single valued behaviour of the characteristic manifoid is seldom considered when analysing the Painleve property of a partial differential equation.Considering this,we take a simple example-the generalized fifth-order Schwarzian Korteweg-de Vries equation-to emphasize the usefulness of including the analysis of the single valued properties of the characteristic manifold in the Pianleve test.The result shows that some types of Schwarzian equations may not be Painleve integrable,though many of them may be.