NONLOCAL MATRIX HAMILTONIAN OPERATORS, DIFFERENTIAL GEOMETRY, AND APPLICATIONS

被引：14
|
作者：
FERAPONTOV, EV
机构：
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 1992年 / 91卷 / 03期
关键词：
D O I：
10.1007/BF01017341
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A study is made of a class of nonlocal Hamiltonian operators that arise naturally as second Hamiltonian structures of the nonlinear Schrodinger equation, the Heisenberg magnet, the Landau-Lifshitz equation, etc. A complete description of these operators is obtained, and it reveals intimate connections with classical differential geometry. A new nonlocal Hamiltonian structure of first order is constructed for the partly anisotropic (J1 = J2) Landau-Lifshitz equation (hitherto, only Hamiltonian structures of zeroth and second orders were known for the Landau-Lifshitz equation).
引用
收藏
页码：642 / 649
页数：8
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