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Article Dans Une Revue Journal of Mathematical Physics Année : 2017

Three dimensional reductions of four-dimensional quasilinear systems

Résumé

In this paper, we show that four-dimensional quasilinear systems of first order integrable by the method of two-dimensional hydrodynamic reductions possess infinitely many three-dimensional hydrodynamic reductions, which are also integrable systems. These three-dimensional multi-component integrable systems are irreducible to two-dimensional hydrodynamic reductions in a generic case.

Dates et versions

hal-01674529 , version 1 (03-01-2018)

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Maxim V. Pavlov, Nikola M. Stoilov. Three dimensional reductions of four-dimensional quasilinear systems. Journal of Mathematical Physics, 2017, 58, n°11 (111510), ⟨10.1063/1.5006601⟩. ⟨hal-01674529⟩
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