论文标题
堕落的非均匀哈密顿运营商的分类
Classification of degenerate non-homogeneous Hamiltonian operators
论文作者
论文摘要
在本文中，作者研究了由一阶Dubrovin-Novikov操作员和超局部性的非均匀汉密尔顿操作员。对此类操作员的研究对于与一类Hamiltonian标量方程相关的方程式倒置系统至关重要。通常，涉及的运营商在一阶期间退化。因此，介绍了在2和3组件的系统中对运算符的完整分类。
In this paper, the authors investigate non-homogeneous Hamiltonian operators composed of a first-order Dubrovin-Novikov operator and an ultralocal one. The study of such operators turns out to be fundamental for the inverted system of equations associated with a class of Hamiltonian scalar equations. Often, the involved operators are degenerate in the first-order term. For this reason, a complete classification of the operators with degenerate leading coefficient in systems of 2 and 3 components is presented.
