Journal
MODERN PHYSICS LETTERS B
Volume 35, Issue 13, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984921502201
Keywords
The generalized Jacobi elliptical functional method; the modified Khater method; the Ostrovsky equation; solitary wave solutions
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In this paper, the generalized Jacobi elliptical functional and modified Khater methods are employed to find various wave solutions of the Ostrovsky equation, which show persistent and dominant features of localized wave packets. Multiple distinct solutions are obtained through the computational schemes, and the accuracy of the solutions is examined through a comparison with previously obtained results.
In this paper, the generalized Jacobi elliptical functional (JEF) and modified Khater (MK) methods are employed to find the soliton, breather, kink, periodic kink, and lump wave solutions of the Ostrovsky equation. This model is considered as a mathematical modification model of the Korteweg-de Vries (KdV) equation with respect to the effects of background rotation. The solitary solutions of the well-known mathematical model (KdV equation) usually decay and are replaced by radiating inertia gravity waves. The obtained solitary solutions emerge the localized wave packet as a persistent and dominant feature. Many distinct solutions are obtained through the employed computational schemes. Moreover, some solutions are sketched in 2D, 3D, and contour plots. The effective and powerful of the two used computational schemes are tested. Furthermore, the accuracy of the obtained solutions is examined through a comparison between them and that had been obtained in previously published research.
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