Integrability of Exceptional Hydrodynamic-Type Systems |
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Authors: | Maxim V Pavlov |
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Institution: | 1.P.N. Lebedev Physical Institute of the Russian Academy of Sciences,Moscow,Russia |
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Abstract: | We consider non-diagonalizable hydrodynamic-type systems integrable by the extended hodograph method. We restrict the analysis to non-diagonalizable hydrodynamic reductions of the three-dimensionalMikhalev equation. We show that families of these hydrodynamictype systems are reducible to the heat hierarchy. Then we construct new particular explicit solutions for the Mikhalev equation. |
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