University of Tabriz Computational Methods for Differential Equations 2345-3982 9 4 2021 10 01 The symmetry analysis and analytical studies of the rotational GreenNaghdi (R-GN) equation 1223 1232 12172 10.22034/cmde.2020.41145.1785 EN Zehra Pinar Tekirdağ Namık Kemal University, Faculty of Arts and Science, Department of Mathematics, 59030 Merkez-Tekirdağ, Turkey. Journal Article 2020 08 05 The simplified phenomenological model of long-crested shallow-water wave propagations is considered without/with the Coriolis effect. Symmetry analysis is taken into consideration to obtain exact solutions. Both classical wave transformation and transformations are obtained with symmetries and solvable equations are kept thanks to these transformations. Additionally, the exact solutions are obtained via various methods which are ansatz-based methods. The obtained results have a major role in the literature so that the considered equation is seen in a large scale of applications in the area of geophysical. https://cmde.tabrizu.ac.ir/article_12172_cc8b0d3b73140ee91af0c6cca8f233bd.pdf