Author(s)

Ranis N. Ibragimov^1*, Lauren D. Mongrain¹, Benjamin Stimmel¹, Olga Trozkaya², Guang Lin³, Sheng Zhang³, Vesselin Vatchev⁴, Daniel Stankiewicz⁵

¹Wenatchee Valley College, Wenatchee, WA, USA.
²Novosibirsk State University, Novosibirsk, Russia.
³Purdue University, West Lafayette, IN, USA.
⁴University of Texas Rio Grande, Edinburg, TX, USA.
⁵Horace Greely High School, Chappaqua, NY, USA.

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).

Atmospheric Waves, Shallow Water Theory, Exact Solutions

Ibragimov, R. , Mongrain, L. , Stimmel, B. , Trozkaya, O. , Lin, G. , Zhang, S. , Vatchev, V. and Stankiewicz, D. (2021) Visualization of Exact Invariant Solutions Associated with Atmospheric Waves in a Thin Circular Layer. Journal of Applied Mathematics and Physics, 9, 901-919. doi: 10.4236/jamp.2021.95061.