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On the symmetries of a multicomponent water wave equation

On the symmetries of a multicomponent water wave equation A strong and hereditary symmetry operator for a multicomponent water wave equation is found which yields a hierarchy of classical symmetries. Furthermore it is shown that Eq. (3.1) possesses new symmetries which depend explicitly on the time-variablet and all of the symmetries for Eq. (3.1) form an infinitely dimensional Lie algebra. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

On the symmetries of a multicomponent water wave 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/BF02018712
Publisher site
See Article on Publisher Site

Abstract

A strong and hereditary symmetry operator for a multicomponent water wave equation is found which yields a hierarchy of classical symmetries. Furthermore it is shown that Eq. (3.1) possesses new symmetries which depend explicitly on the time-variablet and all of the symmetries for Eq. (3.1) form an infinitely dimensional Lie algebra.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

References