Integrability of Exceptional Hydrodynamic-Type Systems


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详细

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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Maxim Pavlov

P.N. Lebedev Physical Institute of the Russian Academy of Sciences

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Email: mpavlov@itp.ac.ru
俄罗斯联邦, Leninskii pr. 53, Moscow, 119991

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