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INVARIANT SOLUTIONS AND SHOCK ATMOSPHERIC WAVES IN A THIN CIRCULAR LAYER
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.
Univ Wisconsin Parkside, USA.
Russian Acad Sci, RUS.
2018 (English)In: Mathematical Modelling of Natural Phenomena, ISSN 0973-5348, E-ISSN 1760-6101, Vol. 13, no 2, article id UNSP 19Article in journal (Refereed) Published
Abstract [en]

The objective of this paper is to investigate the nonlinear mathematical model describing equatorial waves from Lie group analysis point of view in order to understand the nature of shallow water model theory, which is associated to planetary equatorial waves. Such waves correspond to the Cauchy-Poisson free boundary problem on the nonstationary motion of a perfect incompressible fluid circulating around a solid circle of a large radius.

Place, publisher, year, edition, pages
EDP SCIENCES S A , 2018. Vol. 13, no 2, article id UNSP 19
Keywords [en]
Method of conservation laws, nonlinear PDEs, symmetries, exact solutions, chaplygin gas
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:bth-17016DOI: 10.1051/mmnp/2018021ISI: 000443894600004OAI: oai:DiVA.org:bth-17016DiVA, id: diva2:1249686
Available from: 2018-09-20 Created: 2018-09-20 Last updated: 2018-09-20Bibliographically approved

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Ibragimov, Nail

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