Geodesic
Integrability of the Egorov systems of hydrodynamic type
Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 2, pp. 263-285 Cet article a éte moissonné depuis la source Math-Net.Ru

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We present integrability criterion for the Egorov systems of hydrodynamic type. We find the general solution by the generalized hodograph method and give examples. We discuss a description of triorthogonal curvilinear coordinate systems from the standpoint of reciprocal transformations.
Keywords: Hamiltonian structure, reciprocal transformation, Egorov metric, system of hydrodynamic type, extended hodograph method, generalized hodograph method.
Mots-clés : Riemann invariant 
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M. V. Pavlov. Integrability of the Egorov systems of hydrodynamic type. Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 2, pp. 263-285. http://geodesic.mathdoc.fr/item/TMF_2007_150_2_a6/

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