Last Updated:

28/07/2020 - 15:48

The research article “Nonlocal hydrodynamic type of equations”, co-authored by METU member Assoc. Prof. Kostyantyn Zheltukhin, has been published in Communications in Nonlinear Science and Numerical Simulation.

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.


Gürses, M., Pekcan, A., & Zheltukhin, K. (2020). Nonlocal hydrodynamic type of equations. Communications in Nonlinear Science and Numerical Simulation, 85 doi:10.1016/j.cnsns.2020.105242

 

Article access: https://www.sciencedirect.com/science/article/pii/S1007570420300757


METU Author

Assoc. Prof. Kostyantyn Zheltukhin

zheltukh@metu.edu.tr Scopus Author ID: 6603497099
About the author ORCID: 0000-0002-1098-7369

Tags/Keywords:

Conserved quantities, Hydrodynamic equations, Lax representations, Nonlocal reductions


Other authors:
Gürses, M., & Pekcan, A.


Acknowledgment:
This work is partially supported by the Scientific and Technological Research Council of Turkey (TÜBİTAK).