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Double waves in multi-dimensional systems of hydrodynamic type: the necessary condition for integrability
preprint
posted on 2005-08-17, 09:48 authored by E.V. Ferapontov, Karima R. KhusnutdinovaThe 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-parameter family of matrices associated with the system. Since the diagonalizability can be effectively verified by differential-geometric means, this provides a simple necessary condition for integrability.
History
School
- Science
Department
- Mathematical Sciences
Pages
207826 bytesPublication date
2005Notes
This is a pre-print.Language
- en