On the compatible weakly nonlocal Poisson brackets of hydrodynamic type

We consider the pairs of general weakly nonlocal Poisson brackets of hydrodynamic type (Ferapontov brackets) and the corresponding integrable hierarchies. We show that, under the requirement of the nondegeneracy of the corresponding first pseudo-Riemannian metric g(0) νμ and also some nondegeneracy...

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Bibliographic Details
Main Author: Andrei Ya. Maltsev
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202202069
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