Nonlocal hydrodynamic type of equations

Available
The embargo period has ended, and this item is now available.

Files

Nonlocal_hydrodynamic_type_of_equations.pdf (511.14 KB)

Date

2020-03-01

Authors

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

Type

Article

Journal Title

Journal ISSN

Volume Title

Citation Stats
Attention Stats
Usage Stats
3
views
9
downloads

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

Keywords

Hydrodynamic equations, Lax representations, Conserved quantities, Nonlocal reductions

Degree Discipline

Degree Level

Degree Name

Citation

Permalink

http://hdl.handle.net/11693/75508

Published Version (Please cite this version)

https://dx.doi.org/10.1016/j.cnsns.2020.105242

Collections

Scholarly Publications - Mathematics