论文标题
部分Euler操作员和DIV的有效反转
Partial Euler operators and the efficient inversion of Div
论文作者
论文摘要
颠倒总差异操作员的问题对于查找给定保护法的组成部分至关重要。这可能不会为标量部分微分方程的低阶保护定律征税，但可集成的系统具有任意高阶的保护定律，必须借助计算机代数。即使是复杂系统的低阶保护定律也很难找到和反转。本文描述了一种新的，有效的反转问题方法。开发了两个主要工具：部分Euler操作员和部分尺度。这些导致线积分公式用于反转总导数和颠倒给定总差异的程序。
The problem of inverting the total divergence operator is central to finding components of a given conservation law. This might not be taxing for a low-order conservation law of a scalar partial differential equation, but integrable systems have conservation laws of arbitrarily high order that must be found with the aid of computer algebra. Even low-order conservation laws of complex systems can be hard to find and invert. This paper describes a new, efficient approach to the inversion problem. Two main tools are developed: partial Euler operators and partial scalings. These lead to a line integral formula for the inversion of a total derivative and a procedure for inverting a given total divergence concisely.
