关于KdV方程中Hamilton算子序列的计算  

The Calculation about Hamilton Operator Series in KdV Equation

作　　者：吴莉[1] 

机构地区：[1]南京工程学院基础部,江苏南京210013

出　　处：《南通大学学报（自然科学版）》2007年第4期13-16,共4页Journal of Nantong University(Natural Science Edition)　

摘　　要：文章研究了确定KdV方程的相应Hamilton算子序列显式表示的各种计算机符号运算问题.利用算子序列的显式表示和Mathematica软件计算得到Hamilton算子序列前六项的具体表达式,其结果可适用于一般情形,对进一步研究Hamilton算子序列及其相应水波方程具有指导作用.In this paper, the calculations of computer symbols were studied with respect to the distinct expressions of Hamilton operator series in KdV equation. By means of the distinct expressions of Hamilton operator and MATHE- MATICA, the first six items of Hamilton operator series were calculated, whose results are very applicable and are meaningful for further studies on Hamilton operator series as well as water wave equation.

关 键 词：KDV方程 Hamilton算子序列 显式表示 计算机符号运算 

分 类 号：O177[理学—数学]