Copy For Citation
Gürses M., Pekcan A., Zheltukhin K.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, vol.85, 2020 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
85
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Publication Date:
2020
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Doi Number:
10.1016/j.cnsns.2020.105242
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Journal Name:
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
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Middle East Technical University Affiliated:
Yes
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.