Abstract
We analyze the cubic Ostrovsky equation which is a modification of Ostrovsky equation. This equation can be found in physical phenomena such as wave mechanism due to a rotating media. We use the Kudryashov method to solve this equation. Since this equation is one type of nonlinear partial differential equation, we initially transformed this equation into its nonlinear ordinary differential equation form. Next, we compute the Laurent series of this equation and we get two types of Laurent series with a second-order pole; the coefficients of these series are complex numbers so that the symmetrical form is complex conjugation. Based on these two Laurent series, we construct two types of solutions, each of which consists of elliptic solution (doubly periodic) in the form of Weierstrass-℘ functions, simply periodic solutions, and rational solution.
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