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Nonlocal hydrodynamic type of equations

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2020-06-01
GÜRSES, METİN
Pekcan, Asli
Zheltukhın, Kostyantyn
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.