Nonlocal hydrodynamic type of equations
Embargo Lift Date: 2022-03-01
Communications in Nonlinear Science and Numerical Simulation
Item Usage Stats
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.