Browsing by Subject "Lax representations"

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    Nonlocal hydrodynamic type of equations
    (Elsevier, 2020-03-01) Gürses, Metin; Pekcan, A.; Zheltukhin, K.
    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.