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has been cited by the following article:

• TITLE: Visualization of Exact Invariant Solutions Associated with Atmospheric Waves in a Thin Circular Layer

  AUTHORS: Ranis N. Ibragimov, Lauren D. Mongrain, Benjamin Stimmel, Olga Trozkaya, Guang Lin, Sheng Zhang, Vesselin Vatchev, Daniel Stankiewicz

  KEYWORDS: Atmospheric Waves, Shallow Water Theory, Exact Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.5, May 19, 2021

  ABSTRACT: The purpose of the research was to investigate the exact solutions of nonlinear shallow water equations associated with planetary equatorial waves corresponding to the Cauchy-Poisson free boundary problem describing the nonstationary motion of an incompressible perfect fluid propagating around a solid circle. We consider water waves for which the ratio of the depth of fluid above the circular bottom to the radius of the circle is small (shallow water).