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.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1999年第1期71-79,共9页
Chinese Journal of Hydrodynamics
基金
国家自然科学基金
关键词
MKDV方程
辛算子序列
计算机解
符号运算
mKdV equation, Harry Dym equation
Hamiltonian symplectic operator series, explicit formulas, symbolic manipulation.
