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arXiv · 2001.03601

Quasilinear systems of Jordan block type and the mKP hierarchy

Lingling Xue·E. V. Ferapontov
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Abstract

We demonstrate that commuting quasilinear systems of Jordan block type are parametrised by solutions of the modified KP hierarchy. Systems of this form naturally occur as hydrodynamic reductions of multi-dimensional linearly degenerate dispersionless integrable PDEs.

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Lingling Xue, E. V. Ferapontov. 2020-01-10. Quasilinear systems of Jordan block type and the mKP hierarchy. https://doi.org/10.1088/1751-8121%2Fab859a

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