论文标题

一阶PDE的准系统系统具有非本地哈密顿结构

Quasilinear systems of first order PDEs with nonlocal Hamiltonian structures

论文作者

Vergallo, Pierandrea

论文摘要

在本文中,我们想知道,一阶PDE的准清晰度系统是否可以接受局部和非本地运营商的汉密尔顿配方。通过使用差异覆盖物理论,我们发现与所研究的三个汉密尔顿操作员之一编写给定系统所需的差分几何条件。

In this paper we wonder whether a quasilinear system of PDEs of first order admits Hamiltonian formulation with local and nonlocal operators. By using the theory of differential coverings, we find differential-geometric conditions necessary to write a given system with one of the three Hamiltonian operators investigated.

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