CLASSICAL R-MATRICES AND THE 4-WAVE INTERACTION-EQUATION

Authors
MUKHOPADHYAY I CHOWDHURY AR
Citation
I. Mukhopadhyay et Ar. Chowdhury, CLASSICAL R-MATRICES AND THE 4-WAVE INTERACTION-EQUATION, Chaos, solitons and fractals, 9(3), 1998, pp. 471-477
Citations number
9
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,Physics,"Physycs, Mathematical
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
9
Issue
3
Year of publication
1998
Pages
471 - 477
Database
ISI
SICI code
0960-0779(1998)9:3<471:CRAT4I>2.0.ZU;2-M
Abstract
A classical r-matrix in conjunction with a zero-curvature equation is used to generate a new nonlinear integrable system known as a four-wav e interaction equation. On reduction it yields a new integrable Klein- Gordon system. These equations turn out to be bi-Hamiltonian. Finally, it is indicated how the modified equations can be obtained by the zer o-curvature equation. Our system is very similar to those studied by T suchida and Wadati. (C) 1998 Elsevier Science Ltd. All rights reserved .