On the continuous limit of integrable lattices I. The Kac-Moerbeke system and KdV theory
On the continuous limit of integrable lattices I. The Kac-Moerbeke system and KdV theory
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DOI：
10.1007/bf02099723
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发表时间：
1996-10
影响因子：
2.4
通讯作者：
C. Morosi;L. Pizzocchero
中科院分区：
文献类型：
--
作者：
C. Morosi;L. Pizzocchero
通过Kac-Moerbeke系统的连续极限，系统地构造了KdV理论。无限多个交换向量场、守恒泛函、Lax对和双Hamilton结构被恢复为适当定义的Kac-Moerbeke系统的同源对象的线性组合的极限。这种重组方法的组合方面的详细处理。
KdV theory is constructed systematically through the continuous limit of the Kac-Moerbeke system. The infinitely many commuting vector fields, the conserved functionals, the Lax pairs and the biHamiltonian structure are recovered as the limits of suitably defined linear combinations of homologous objects for the Kac-Moerbeke system. The combinatorial aspects of this recombination method are treated in detail.