Lie symmetries of two-dimensional shallow water equations with variable bottom topography-Reference-Cited by-同舟云学术

Lie symmetries of two-dimensional shallow water equations with variable bottom topography

Published:2020-07 Issue:7 Volume:30 Page:073132
ISSN:1054-1500
Container-title:Chaos: An Interdisciplinary Journal of Nonlinear Science
language:en
Short-container-title:Chaos

Author:

Bihlo Alexander¹^ORCID,Poltavets Nataliia¹,Popovych Roman O.²^ORCID

Affiliation:

1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland and Labrador A1C 5S7, Canada

2. Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, A-1090 Wien, Austria and Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivska Str., 01024 Kyiv, Ukraine

Funder

Canada Research Chairs

Natural Sciences and Engineering Research Council of Canada

Austrian Science Fund

Research and Development Corporation of Newfoundland and Labrador

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/5.0007274

Reference55 articles.

1. A conservative adaptive wavelet method for the shallow-water equations on the sphere

2. Conservation laws and symmetries of the shallow water system above rough bottom

3. Conservation laws of the equation of one-dimensional shallow water over uneven bottom in Lagrange’s variables

4. L. Atamanchuk-Anhel, “Classification of conservation laws of shallow-water equations,” M.Sc. thesis (Memorial University, St. John’s, 2019).

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