Conservation laws of the equation of one-dimensional shallow water over uneven bottom in Lagrange’s variables-Reference-Cited by-同舟云学术

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

Published:2020-03 Issue: Volume:119 Page:103348
ISSN:0020-7462
Container-title:International Journal of Non-Linear Mechanics
language:en
Short-container-title:International Journal of Non-Linear Mechanics

Author:

Aksenov Alexander V.,Druzhkov Konstantin P.

Funder

Russian Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Reference22 articles.

1. Invariante variationsprobleme;Noether;Nachr. König. Ges. Wiss. Gött. Math.–Phys. Klasse,1918

2. Applications of Lie Groups to Differential Equations;Olver,1993

3. Symmetries and Conservation Laws for Differential Equations of Mathematical Physics, Vol. 182,1999

4. Applications of Symmetry Methods to Partial Differential Equations;Bluman,2010

5. Applications of Group-theoretical Methods in Hydrodynamics;Andreev,1998

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates;Communications in Nonlinear Science and Numerical Simulation;2023-05

2. Symmetries and conservation laws of the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates;Journal of Physics A: Mathematical and Theoretical;2022-12-08

3. Conservative invariant finite‐difference schemes for the modified shallow water equations in Lagrangian coordinates;Studies in Applied Mathematics;2022-07-23

4. On the Correspondence between the Variational Principles in the Eulerian and Lagrangian Descriptions;Russian Journal of Mathematical Physics;2021-10

5. Discrete shallow water equations preserving symmetries and conservation laws;Journal of Mathematical Physics;2021-08-01

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