The shallow water equations: conservation laws and symplectic geometry

We consider the system of nonlinear differential equations governing shallow water waves over a uniform or sloping bottom. By using the hodograph method we construct solutions, conservation laws, and Böcklund transformations for these equations. We show that these constructions are canonical relativ...

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Bibliographic Details
Main Author: Yilmaz Akyildiz
Format: Article
Language:English
Published: Wiley 1987-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117128700067X
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