Discrete Symmetries and Nonlocal Reductions
We show that nonlocal reductions of systems of integrable nonlinear partial differential equations are the special discrete symmetry transformations.
nlin.SI↗
arXiv subjects
Konstyantyn Zheltukhin
Publications and source records attributed to Konstyantyn Zheltukhin.
Nonlocal Hydrodynamic Type of Equations
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.
nlin.SI↗