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Superposition formulae of a fifth order KdV equation and its modified equation

Superposition formulae of a fifth order KdV equation and its modified equation The Bäcklund transformation (BT) for a fifth order KdV equation is presented in the bilinear form. Furthermore, a nonlinear superposition formula related to the BT obtained above is proved rigorously. By the way, a nonlinear superposition formula of a modified fifth order KdV equation is also given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Superposition formulae of a fifth order KdV equation and its modified equation

Acta Mathematicae Applicatae Sinica , Volume 4 (1) – Jul 13, 2005

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Publisher
Springer Journals
Copyright
Copyright © 1988 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/BF02018713
Publisher site
See Article on Publisher Site

Abstract

The Bäcklund transformation (BT) for a fifth order KdV equation is presented in the bilinear form. Furthermore, a nonlinear superposition formula related to the BT obtained above is proved rigorously. By the way, a nonlinear superposition formula of a modified fifth order KdV equation is also given.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

References