论文标题
双 - 哈米尔顿对分类的分类由等法扩展
Classification of bi-Hamiltonian pairs extended by isometries
论文作者
论文摘要
本文的目的是对杜布罗夫·诺维科夫类型的一批汉密尔顿运营商对成对进行分类，以便其中一个具有由其领先系数等轴测计算的非本地部分。最近发现了这种双 - 汉米尔顿对的一个例子，用于恒定的散光方程。我们在2个因变量的情况下获得了一个分类，以及一个重要的新示例，该示例是从WDVV方程的特定解决方案获得的流体动力类型系统的扩展。
The aim of this article is to classify pairs of first-order Hamiltonian operators of Dubrovin-Novikov type such that one of them has a non-local part defined by an isometry of its leading coefficient. An example of such bi-Hamiltonian pair was recently found for the constant astigmatism equation. We obtain a classification in the case of 2 dependent variables, and a significant new example that is an extension of a hydrodynamic type system obtained from a particular solution of the WDVV equations.
