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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Citation Formats

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.