MATHEMATICS OF DISPERSIVE WATER-WAVES
MATHEMATICS OF DISPERSIVE WATER-WAVES
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DOI：
10.1007/bf01466593
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发表时间：
1985-01-01
影响因子：
2.4
通讯作者：
KUPERSHMIDT, BA
中科院分区：
文献类型：
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作者：
KUPERSHMIDT, BA
色散水波方程的交换层次构成了一类非标准可积系统的三哈密顿系统，其理论得到了发展。改进的水波层次是一个双哈密顿系统；它的修改分为两部分。水波层次、Korteweg-de Vries和修正Korteweg-de Vries方程的层次，以及经典的Miura映射，通过各种非标准系统的特殊化被赋予了新的表示。
A commuting hierarchy of dispersive water wave equations makes a three-Hamiltonian system which belongs to a general class of nonstandard integrable systems whose theory is developed. The modified water wave hierarchy is a bi-Hamiltonian system; its modification bifurcates. The water wave hierarchy, and the hierarchies of the Korteweg-de Vries and the modified Korteweg-de Vries equations, as well as the classical Miura map, are given new representations through various specializations of nonstandard systems.