Hirota方法在孤子方程中的应用

Application of Hirota's method to soliton equations

主要考虑一个重要的孤子方程:BLMP—方程.介绍了有关孤子理论和Hirota方法,通过适当的变量代换,将孤子方程化为双线性导数形式的微分方程,从方程的双线性导数形式出发,用摄动法得到孤子方程的n-孤子解,最后又求得它的另外一种形式的Wronsky-解.

In this paper, first,we considered BLMP-equation is an important soliton equation, introduced the background knowledge about the soliton theory and the essentials of H irota＇s method, through a proper transformation, the soliton equation can be transformed into bilinear differential equations. Next, we obtained the exact n-Soliton solution by the perturbation method, finally, we got another type solution-Wronsky.