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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.CA2019
Second-order delay ordinary differential equations, their symmetries and application to a traffic problem
Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko +1
This article is the third in a series the aim of which is to use Lie group theory to obtain exact analytic solutions of Delay Ordinary Differential Systems (DODSs). Such a system c…