Multiple-solitons for generalized (2+1)-dimensional conformable Korteweg-de Vries-Kadomtsev-Petviashvili equation

被引：15

作者：

Akinyemi, Lanre ^{[1
]}

Senol, Mehmet ^{[2
]}

Tasbozan, Orkun ^{[3
]}

Kurt, Ali ^{[4
]}

机构：

[1] Lafayette Coll, Dept Math, Easton, PA USA

[2] Ehir Haci Bektas Veli Univ, Dept Math, Nevsehir, Turkey

[3] Mustafa Kemal Univ, Dept Math, Antakya, Turkey

[4] Pamukkale Univ, Dept Math, Denizli, Turkey

来源：

JOURNAL OF OCEAN ENGINEERING AND SCIENCE | 2022年 / 7卷 / 06期

关键词：

Conformable derivative; Sub-equation method; KdV-KP equations; Multiple-soliton solutions; FRACTIONAL COMPLEX TRANSFORM; SOLITARY WAVE SOLUTIONS; FOKAS-LENELLS EQUATION; EXTENDED TANH METHOD; DIFFERENTIAL-EQUATIONS; KDV EQUATION; ORDER; MODELS; FORMS;

D O I：

10.1016/j.joes.2021.10.008

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

摘要：

This paper studied new class of integral equation called the Korteweg-de Vries-Kadomtsev-Petviashvili (KdV-KP) equation. This equation consist of the well-known fifth-order KdV equation in the context of the Kadomtsev-Petviashvili equation. The newly gathered class of sixth-order KdV-KP equation is studied using the sub-equation method to obtain several soliton-type solutions which consist of trigonometric, hyperbolic, and rational solutions. The application of the sub-equation approach in this work draws attention to the outstanding characteristics of the suggested method and its ability to handle completely integrable equations. Furthermore, the obtained solutions have not been reported in the previous literature and might have significant impact on future research. (c) 2021 Shanghai Jiaotong University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

引用

页码：536 / 542

页数：7

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