Nonlocal hydrodynamic type of equations

Limited Access
This item is unavailable until:
2022-03-01
Date
2020-03-01
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Communications in Nonlinear Science and Numerical Simulation
Print ISSN
1007-5704
Electronic ISSN
Publisher
Elsevier
Volume
85
Issue
Pages
Language
English
Journal Title
Journal ISSN
Volume Title
Series
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.

Course
Other identifiers
Book Title
Citation
Published Version (Please cite this version)