(4)Effect of Coriolis constant on Geophysical Korteweg-de Vries equation
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P. Karunakar, S. Chakraverty ∗
Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769 008 Odisha, India
Received 13 December 2018; received in revised form 11 February 2019; accepted 12 February 2019
Available online 15 February 2019
Abstract
The present article investigates the effect of Coriolis constant on the solution of the Geophysical Korteweg-de Vries (gKdV) equation. As such, the Homotopy Perturbation Method (HPM) has been applied here for solving the nonlinear gKdV equation. Present results are compared with existing results that are available in the literature and they are found to be in good agreement. Then the Coriolis term has been considered in terms of the interval to form interval Geophysical Korteweg-de Vries (IgKdV) equation. IgKdV equation has been solved by HPM to analyse the effect of Coriolis. From this analysis, it has been concluded that the constant of Coriolis is directly proportional to wave height and inversely proportional to wavelength. The presence of the Coriolis term in gKdV equation has a remarkable change in the shape of the solution.
© 2019 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Keywords: Geophysical Korteweg-de Vries Equation; Coriolis constant; HPM; Interval gKdV.