mKdV方程的辛算子序列的计算机符号运算  

Symbolic Manipulation of the Symplectic Operator Series of mKdV Equation

作　　者：张宝善[1] 

机构地区：[1]上海大学上海市应用数学和力学研究所

出　　处：《水动力学研究与进展（A辑）》1999年第1期71-79,共9页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金

摘　　要：本文首先给出ｍＫｄＶ方程的Ｈａｍｉｌｔｏｎ辛算子序列的构造及其检验，推得Ｈａｍｉｌｔｏｎ辛算子序列的显式表示式，并用计算机符号运算求解Ｈａｍｉｌｔｏｎ辛算子序列。This paper presents the construction of Hamiltonian symplectic operator series and its application in analyzing the mKdV equation. The author deduces the explicit formulas of Hamiltonian symplectic operator series, and calculates some terms of the series with symbolic manipulation with MATHEMATICA system. The necessity and superiority of the explicit formulas are illustrated by treating the Harry Dym equation.

关 键 词：MKDV方程 辛算子序列 计算机解 符号运算 

分 类 号：O353.2[理学—流体力学]