The finite-band solution of the Jaulent-Miodek equation

被引：150
|
作者：
Zhou, RG
机构：
[1] Institute of Mathematics, Fudan University
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1997年 / 38卷 / 05期
关键词：
LAX REPRESENTATION; CONSTRAINED FLOWS; SEPARATION; HIERARCHY; VARIABLES; SYSTEM;
D O I：
10.1063/1.531993
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A method to construct the finite-band solution to the soliton equation is presented. We take the Jaulent-Miodek equation as an example. With the use of the nonlinearization of Lax pair, the Jaulent-Miodek equation is decomposed into two finite-dimensional integrable systems, whose properties are studied from the view of an r-matrix. Then through solving these finite-dimensional integrable systems, the finite-band solution of the Jaulent-Miodek equation is obtained. (C) 1997 American Institute of Physics.
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页码：2535 / 2546
页数：12
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