Researches On Converting Nonlinear Partial Differential Equations To Hirota Bilinear Equation

In this paper, we analyze the sum of the coefficients in nonlinear partial d-ifferential equation which can be turned into Hirota bilinear form, and propose a method to classify the items in the nonlinear partial differential equation according to the bilinear form. Based on that, we give a rapid and effective method to trans-form a nonlinear partial differential equation to KdV bilinear form or conform this bilinearization cannot be realized. This process mainly involves the determination of several parameters, which can be realized through an algorithm, and this algo-rithm can be accomplished manually in a simple way. For those nonlinear partial differential equations which have no KdV bilinear form, using the identity of Hirota bilinear derivative, we also give some examples that can be transformed to bilinear equations.