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Russian-Chinese Conference «Integrable Systems and Geometry»
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Nondiagonalizable Hydrodynamic Type Systems Integrable by Tsarev's Generalised Hodograph Method M. V. Pavlov P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow |
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Abstract: We investigate integrability of nondiagonalizable hydrodynamic type systems. In the simplest nontrivial case (2x2 Jordan blocks) we derive integrability conditions. Two distinguish classes of solutions are selected: 1. linearly-degenerate case; 2. strongly-nonlinear case. The first case belongs to the so-called Darboux integrable class. The second case belongs to MKP hierarchy. Language: English |
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