Investigation of Coriolis effect on oceanic flows and its bifurcation via geophysical Korteweg-de Vries equation

被引：26

作者：

Ak, Turgut ^{[1
]}

Saha, Asit ^{[2
]}

Dhawan, Sharanjeet ^{[3
]}

Kara, Abdul Hamid ^{[4
]}

机构：

[1] Yalova Univ, Armutlu Vocat Sch, TR-77500 Yalova, Turkey

[2] Sikkim Manipal Univ, Sikkim Manipal Inst Technol, Dept Math, Gangtok, India

[3] Cent Univ Haryana, Dept Math, Mahendragarh, Haryana, India

[4] Univ Witwatersrand, Sch Math, Johannesburg, South Africa

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2020年 / 36卷 / 06期

关键词：

bifurcation; Coriolis effect; finite element technique; solitary wave; tsunami; CONSERVATION-LAWS; DISPERSION; WAVES; SOLITONS; TSUNAMI; MODEL;

D O I：

10.1002/num.22469

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1234 / 1253

页数：20

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