Nonlocal Hydrodynamic Type of Equations
arXiv:1906.08475 · doi:10.1016/j.cnsns.2020.105242
Abstract
We show that the integrable equations of hydrodynamic type admit nonlocal reductions. We first construct such reductions for a general Lax equation and then give several examples. The reduced nonlocal equations are of hydrodynamic type and integrable. They admit Lax representations and hence possess infinitely many conserved quantities.
19 Pages