Investigation of Coriolis effect on oceanic flows and its bifurcation via geophysical Korteweg–de Vries equation |
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| Authors: | Turgut
Ak Asit Saha Sharanjeet Dhawan Abdul Hamid Kara |
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| Institution: | 1. Armutlu Vocational School, Yalova University, Yalova, Turkey;2. Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Gangtok, India;3. Department of Mathematics, Central University of Haryana, Mahendragarh, Haryana, India;4. School of Mathematics, University of the Witwatersrand, Johannesburg, South Africa |
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| Abstract: | In this work, we have investigated Coriolis effect on oceanic flows in the equatorial region with the help of geophysical Korteweg–de Vries equation (GKdVE). First, Lie symmetries and conservation laws for the GKdVE have been studied. Later, we implement finite element method for numerical simulations. Propagation of nonlinear solitary structures, their interaction and advancement of solitons can be seen in the results so produced. Additionally, Gaussian initial condition and undular bore initial condition are also investigated. Results so obtained have been found in perfect agreement with the available results. Bifurcation analysis of the oceanic traveling wave of the GKdVE is presented depending on traveling wave velocity and Coriolis parameter. It is discerned that velocity of the traveling wave and Coriolis parameter affect significantly on the propagation of the nonlinear waves. |
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| Keywords: | bifurcation Coriolis effect finite element technique solitary wave tsunami |
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