The geophysical KdV equation: its solitons, complexiton, and conservation laws

被引：24

作者：

Hosseini, K. ^{[1
,2
]}

Akbulut, A. ^{[3
]}

Baleanu, D. ^{[4
,5
,6
]}

Salahshour, S. ^{[7
]}

Mirzazadeh, M. ^{[8
]}

Akinyemi, L. ^{[9
]}

机构：

[1] Islamic Azad Univ, Rasht Branch, Dept Math, Rasht, Iran

[2] Near East Univ TRNC, Dept Math, Mersin 10, North Nicosia, Northern Cyprus, Turkey

[3] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey

[4] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey

[5] Inst Space Sci, Magurele, Romania

[6] China Med Univ, Dept Med Res, Taichung 40447, Taiwan

[7] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey

[8] Univ Guilan, Fac Engn & Technol, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran

[9] Lafayette Coll, Dept Math, Easton, PA 18042 USA

来源：

GEM-INTERNATIONAL JOURNAL ON GEOMATHEMATICS | 2022年 / 13卷 / 01期

关键词：

Geophysical KdV equation; Coriolis parameter; Kudryashov and Hirota methods; Solitons and complexiton; Ibragimov theorem; Conservation laws; PARTIAL-DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; WAVE SOLUTIONS; SYMMETRIES;

D O I：

10.1007/s13137-022-00203-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main goal of the current paper is to analyze the impact of the Coriolis parameter on nonlinear waves by studying the geophysical KdV equation. More precisely, specific transformations are first adopted to derive one-dimensional and operator forms of the governing model. Solitons and complexiton of the geophysical KdV equation are then retrieved with the help of several well-established approaches such as the Kudryashov and Hirota methods. In the end, the new conservation theorem given by Ibragimov is formally employed to extract conservation laws of the governing model. It is shown that by increasing the Coriolis parameter, based on the selected parameter regimes, less time is needed for tending the free surface elevation to zero.

引用

页数：14

共 42 条

[1] Investigation of Coriolis effect on oceanic flows and its bifurcation via geophysical Korteweg-de Vries equation [J].