Multiple soliton, fusion, breather, lump, mixed kink-lump and periodic solutions to the extended shallow water wave model in (2+1)-dimensions

被引：26

作者：

Ismael, Hajar F. ^{[1
,2
]}

Seadawy, Aly ^{[3
]}

Bulut, Hasan ^{[2
]}

机构：

[1] Univ Zakho, Fac Sci, Dept Math, Zakho, Iraq

[2] Firat Univ, Fac Sci, Dept Math, Elazig, Turkey

[3] Taibah Univ, Fac Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia

来源：

MODERN PHYSICS LETTERS B | 2021年 / 35卷 / 08期

关键词：

N-soliton solutions; breather solution; lump solution; shallow water model; Hirota simple method; PARTIAL-DIFFERENTIAL-EQUATIONS; FOKAS-LENELLS EQUATION; PORSEZIAN-DANIEL MODEL; OPTICAL SOLITONS; BACKLUND TRANSFORMATION; LONG-WAVE;

D O I：

10.1142/S0217984921501384

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, we consider the shallow water wave model in the (2+1)-dimensions. The Hirota simple method is applied to construct the new dynamics one-, two-, three-, N-soliton solutions, complex multi-soliton, fusion, and breather solutions. By using the quadratic function, the one-lump, mixed kink-lump and periodic lump solutions to the model are obtained. The Hirota bilinear form variable of this model is derived at first via logarithmic variable transform. The physical phenomena to this model are explored. The obtained results verify the proposed model.

引用

页数：17

共 23 条

[21] Periodic type and periodic cross-kink wave solutions to the (2+1)-dimensional breaking soliton equation arising in fluid dynamics
Ilhan, Onur Alp
Manafian, Jalil
[J]. MODERN PHYSICS LETTERS B, 2019, 33 (23):
[22] Soliton molecules and other diverse wave solutions of the (2+1)-dimensional Boussinesq equation for the shallow water
Wang, Kang-Jia
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (10)
[23] A new extended (2+1)-dimensional Kadomtsev-Petviashvili equation with N-solitons, periodic solutions, rogue waves, breathers and lump waves
Li, Lingfei
Xie, Yingying
Yan, Yongsheng
Wang, Mancang
[J]. RESULTS IN PHYSICS, 2022, 39

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