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The general scheme for higher-order decompositions of zero-curvature equations associated with 337-1337-1337-1(2)

The general scheme for higher-order decompositions of zero-curvature equations associated with... Within the framework of zero-curvature representation theory, the decompositions of each equation in a hierarchy of zero-curvature equations associated with loop algebra $$\widetilde{sl}(2)$$ by means of higher-order constraints on potential are given a unified treatment, and the general scheme and uniform formulas for the decompositions are proposed. This provides a method of separation of variables to solve a hierarchy of (1+1)-dimensional integrable systems. To illustrate the general scheme, new higher-order decompositions of two hierarchies of zero-curvature equations are presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The general scheme for higher-order decompositions of zero-curvature equations associated with 337-1337-1337-1(2)

Acta Mathematicae Applicatae Sinica , Volume 12 (4) – Jul 16, 2005

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Publisher
Springer Journals
Copyright
Copyright © 1996 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02029061
Publisher site
See Article on Publisher Site

Abstract

Within the framework of zero-curvature representation theory, the decompositions of each equation in a hierarchy of zero-curvature equations associated with loop algebra $$\widetilde{sl}(2)$$ by means of higher-order constraints on potential are given a unified treatment, and the general scheme and uniform formulas for the decompositions are proposed. This provides a method of separation of variables to solve a hierarchy of (1+1)-dimensional integrable systems. To illustrate the general scheme, new higher-order decompositions of two hierarchies of zero-curvature equations are presented.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 16, 2005

References