Group classification of the two-dimensional shallow water equations with the beta-plane approximation of coriolis parameter in Lagrangian coordinates

Communications in Nonlinear Science and Numerical Simulation（2020）

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摘要

•Analysis of the shallow water equations in Lagrangian coordinates.•Complete group classification of the equations with uneven bottom.•New conservation laws in Lagrangian and Eulerian coordinates.

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关键词

Lagrangian coordinates,Shallow water equations,Uneven bottom,Admitted lie group

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