Nonlocal hydrodynamic type of equations
Date
2020-03-01
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Source Title
Communications in Nonlinear Science and Numerical Simulation
Print ISSN
1007-5704
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Publisher
Elsevier
Volume
85
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Language
English
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Abstract
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.