Hurwitz空间上的互反变换与平坦度量
Reciprocal transformations and flat metrics on Hurwitz spaces
摘要：
我们考虑具有Dubrovin-Novikov型局部Hamilton结构的流体动力系统。对于这样的系统，也有无限多的非局部哈密顿结构。我们给出了充分必要条件，使非线性变换后的独立变量，倒易系统仍然具有Dubrovin-Novikov型的局部哈密顿结构。我们表明，在我们的假设下，双哈密顿是保存的倒数变换。最后，我们将这些结果应用到亏格g Whitham-KdV调制方程的倒易系统。
英文摘要：
We consider hydrodynamic systems which possess a local Hamiltonian structure of Dubrovin-Novikov type. To such a system there are also associated an infinite number of nonlocal Hamiltonian structures. We give necessary and sufficient conditions so that, after a nonlinear transformation of the independent variables, the reciprocal system still possesses a local Hamiltonian structure of Dubrovin-Novikov type. We show that, under our hypotheses, bi-hamiltonicity is preserved by the reciprocal transformation. Finally we apply such results to reciprocal systems of genus g Whitham-KdV modulation equations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
