The Hamiltonian structure of the (2+1)‐dimensional Ablowitz–Kaup–Newell–Segur hierarchy

The Hamiltonian structure of the (2+1)‐dimensional Ablowitz–Kaup–Newell–Segur hierarchy
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DOI:
10.1063/1.530040
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发表时间:
1993-08
影响因子:
1.3
通讯作者:
C. Athorne;I. Dorfman
C. Athorne;I. Dorfman
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
C. Athorne;I. Dorfman

文献摘要

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通过考虑一个合适的(非交换)环上的Hamilton理论,将Ablowitz-Kaup-Newell-Segur(2+1)族的非线性发展方程纳入一个Hamilton框架和一个修正的Lenard格式.
By considering Hamiltonian theory over a suitable (noncommutative) ring the nonlinear evolution equations of the Ablowitz–Kaup–Newell–Segur (2+1) hierarchy are incorporated into a Hamiltonian framework and a modified Lenard scheme.