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This article is cited in 10 scientific papers (total in 10 papers)
Integrability of the Egorov systems of hydrodynamic type
M. V. Pavlov P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
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, Riemann invariant, extended hodograph method, generalized hodograph method.
Received: 01.05.2006
Citation:
M. V. Pavlov, “Integrability of the Egorov systems of hydrodynamic type”, TMF, 150:2 (2007), 263–285; Theoret. and Math. Phys., 150:2 (2007), 225–243
Linking options:
https://www.mathnet.ru/eng/tmf5978https://doi.org/10.4213/tmf5978 https://www.mathnet.ru/eng/tmf/v150/i2/p263
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Abstract page: | 572 | Full-text PDF : | 280 | References: | 71 | First page: | 6 |
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