Nonlocal hydrodynamic type of equations
Submitted by tugrul on
The research article “Nonlocal hydrodynamic type of equations”, co-authored by METU member Assoc. Prof. Kostyantyn Zheltukhin, has been published in Communications in Nonlinear Science and Numerical Simulation.
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.