一个计算非线性发展方程的双线性方程的方法  

The Way of Bilinear Equation of Computing Nonlinear Developing Equation

作　　者：周振江[1] 吴晓光[2] 付竟芝[1] 

机构地区：[1]南京人口学院,江苏南京210042 [2]山西广播电视大学,山西太原030027

出　　处：《山西广播电视大学学报》2009年第1期39-41,共3页Journal of Shanxi Radio & TV University

摘　　要：在详细分析双线性方法的基础上,提出了将偏微分方程转化为与其等价的双线性方程的算法,以上算法在maple上都能实现,运算的结果与手工计算的结果是一致的。这也证明算法是正确的、可行的,也可为研究偏微分方程及其求解提供一个良好的工具。On the base of analyzing bilinear method in detail,we provide the algorithms that can change partial differential equation into bilinear equation.These algorithms are implemented in maple,and the result of the algorithms is the same as the one by hand,which can prove these algorithms are right and feasible,as well as can provide a good tool for studying partial differential equation and computing the soliton solution.

关 键 词：偏微分方程 双线性方程 孤子解 

分 类 号：O175.2[理学—数学]