Symmetries and conservation laws of the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates

DOI10.1088/1751-8121/aca84aOpenAlexW4310582340MaRDI QIDQ5878972

E. I. Kaptsov, Vladimir Dorodnitsyn, Sergey V. Meleshko

Publication date: 23 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.06219

zbMATH Keywords

conservation lawsmagnetohydrodynamicsshallow waterLagrangian coordinatesLie symmetriesexact invariant solutions

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

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An initial-boundary value problem for the one-dimensional rotating shallow water magnetohydrodynamic equations

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