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Nonlocal hydrodynamic type of equations
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Date
2020-06-01
Author
Gürses, Metin
Pekcan, Asli
Zheltukhın, Kostyantyn
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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.
Subject Keywords
Modelling and Simulation
,
Applied Mathematics
,
Numerical Analysis
URI
https://hdl.handle.net/11511/47339
Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
DOI
https://doi.org/10.1016/j.cnsns.2020.105242
Collections
Department of Mathematics, Article
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M. Gürses, A. Pekcan, and K. Zheltukhın, “Nonlocal hydrodynamic type of equations,”
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47339.