Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor

The integrability of m-component systems of hydrodynamic type, u_t = V(u)u_x, by the generalized hodograph method requiresthe diagonalizability of the m x m matrix V(u). This condition is known to be equivalent to the vanishing of the corresponding Haantjes tensor. We generalise this apporach to hyd...

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Bibliographic Details
Main Authors: Evgeny Ferapontov, D.G. Marshall
Format: Default Preprint
Published: 2005
Subjects:
Other mathematical sciences not elsewhere classified
hydrodynamic chains
Haantjes tensor
hydrodynamic reduction
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/387
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