Three dimensional reductions of four-dimensional quasilinear systems

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01674529
Contributor : Imb - Université de Bourgogne <>
Submitted on : Wednesday, January 3, 2018 - 10:13:25 AM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM

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

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