Mechanization Achievement Of Painlevé Analysis

Painlevéanalysis of nonlinear partial differential equation(WTC methods) pro-vides a theroy which connected painlevéanalysis and integrability of nonlinear partialdifferential equation directly. Because of the complexity and high repeatability of thecalculation process, people try to use the theroy of mechanical mathematics doing thiswork. According to WTC methods, the painlevéproperty and truncated expansionsolutions of JM equation are studied in this paper,besides in the process of solving thenonlinear solutions of JM equation, a new nonlinear solution is obtained; furthermore,some maple programs are designed to achieve the process of painlevéanalysis, stan-dard truncated expansion and nonstandard truncated expansion of multiple equationsmultiple variables nonlinear partial differential equation mechanically.