Quasilinear systems of Jordan block type and the mKP hierarchy
arXiv:2001.03601 · doi:10.1088/1751-8121/ab859a
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.
11 pages