Application Of Hirota's Method To Two Soliton Equations

In this paper,we consider two important soliton cquations:(2+1)-dimcnsional Gardnerequation and BLMP equation.The exact soliton solutions can be obtained by Hirota'smethod.In section one, We mainly introduce the background knowledge about the solitontheory and the essentials of Hirota's method.In section two ,through a proper transformation ,thc soliton equation can be trans-formed into bilinear differential equations. For the (2+1)-dimcnsional Gardner equationby introducing the Logarithm transformation:the equationcan be transformed into the bilinear differential equationsNext, we obtained the exact N-Soliton solution by the perturbation method, and thesolution as follows:In the last section, we introduce the exact N-Soliton solution of BLMP equationthrough the Logarithm transformation. We mainly get another type solution-Wronskiansolution of the BLMP equation from the bilinear differential equation.