Multiple soliton solutions of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave

被引：38

作者：

Hong, Xiao ^{[1
]}

Manafian, Jalil ^{[2
,3
]}

Ilhan, Onur Alp ^{[4
]}

Alkireet, Arshad Ilyas Ali ^{[5
]}

Nasution, Mahyuddin K. M. ^{[6
]}

机构：

[1] Inner Mongolia Agr Univ, Vocat & Tech Coll, Baotou 014109, Peoples R China

[2] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran

[3] Lankaran State Univ, Nat Sci Fac, 50 H Aslanov Str, Lankaran, Azerbaijan

[4] Erciyes Univ, Fac Educ, Dept Math, TR-38039 Melikgazi Kayseri, Turkey

[5] Univ TU Braunschweig, Dept Fluid Mech, Braunschweig, Germany

[6] Univ Sumatera Utara, DS & CI Res Grp, Medan, Indonesia

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2021年 / 170卷

关键词：

The multiple Exp-function method; Generalized Hirota-Satsuma-Ito equation; Multiple soliton solutions; PARTIAL-DIFFERENTIAL-EQUATIONS; CONSERVATION-LAWS; LUMP SOLUTIONS;

D O I：

10.1016/j.geomphys.2021.104338

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The multiple Exp-function method is employed for searching the multiple soliton solutions for the (2+1)-dimensional generalized Hirota-Satsuma-Ito (HSI) equation, which contain one-soliton, two-soliton, and triple-soliton kind solutions. Then the lump and interaction solutions are also obtained by the Hirota method for the aforementioned equation. For these obtained solutions, they are mentioned in the theory of the shallow water wave. On the other hand, these three-dimensional, contour, density, and two-dimensional stereograms of the 1-, 2-soliton solutions are depicted with the physical parameter changing. The physical phenomena of these gained multiple soliton solutions are analyzed and indicated in figures by selecting suitable values. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：19

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