Double waves in multi-dimensional systems of hydrodynamic type: the necessary condition for integrability

The invariant differential-geometric approach to the integrability of (2+1)- dimensional systems of hydrodynamic type is developed. It is argued that the existence of special solutions known as `double waves' is generically equivalent to the diagonalizability of an arbitrary matrix of some two-...

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Bibliographic Details

Main Authors:	E.V. Ferapontov, Karima R. Khusnutdinova
Format:	Default Preprint
Published:	2005
Subjects:	Other mathematical sciences not elsewhere classified multi-dimensional systems of hydrodynamic type Riemann invariants Haantjes tensor nonlinear interactions of planar simple waves double waves Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/410
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