THE FINITE-BAND SOLUTION OF THE JAULENT-MIODEK EQUATION

Authors
ZHOU RG
Citation
Rg. Zhou, THE FINITE-BAND SOLUTION OF THE JAULENT-MIODEK EQUATION, Journal of mathematical physics, 38(5), 1997, pp. 2535-2546
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
38
Issue
5
Year of publication
1997
Pages
2535 - 2546
Database
ISI
SICI code
0022-2488(1997)38:5<2535:TFSOTJ>2.0.ZU;2-6
Abstract
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 equat ion is decomposed into two finite-dimensional integrable systems, whos e properties are studied from the view of an r-matrix. Then through so lving these finite-dimensional integrable systems, the finite-band sol ution of the Jaulent-Miodek equation is obtained. (C) 1997 American In stitute of Physics.