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• W2059874272 abstract "We investigate (d + 1)-dimensional quasilinear systems which are integrable by the method of hydrodynamic reductions. In the case d ≥ 3 we formulate a conjecture that any such system with an irreducible dispersion relation must be linearly degenerate. We prove this conjecture in the 2-component case, providing a complete classification of multi- dimensional integrable systems in question. In particular, our results imply the non- existence of 2-component integrable systems of hydrodynamic type for d ≥ 6. In the second half of the paper we discuss a numerical and analytical evidence for the impossibility of the breakdown of smooth initial data for linearly degenerate systems in 2 + 1 dimensions." @default.
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• W2059874272 date "2011-02-16" @default.
• W2059874272 modified "2023-10-17" @default.
• W2059874272 title "On Linear Degeneracy of Integrable Quasilinear Systems in Higher Dimensions" @default.
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• W2059874272 doi "https://doi.org/10.1007/s11005-011-0462-4" @default.
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