680 citations
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Showing 2019 · math-phShow all
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math-ph2019★ 30 cited
Shallow water equations in Lagrangian coordinates: symmetries, conservation laws and its preservation in difference models
V. A. Dorodnitsyn, E. I. Kaptsov
The one-dimensional shallow water equations in Eulerian and Lagrangian coordinates are considered. It is shown the relationship between symmetries and conservation laws in Lagrangi…
math-ph2019★ 6 cited
Conservation Laws of One-Dimensional Equations of Relativistic Gas Dynamics in Lagrangian Coordinates
Warisa Nakpim, Sergey V. Meleshko
The present paper is focused on the analysis of the one-dimensional relativistic gas dynamics equations. The studied equations are considered in Lagrangian description, making it p…