New lump interaction complexitons to the (2+1)-dimensional Korteweg-de Vries equation with electrostatic wave potential in plasmas

doi:10.1016/j.joes.2022.04.020

Journal of Ocean Engineering and Science ›› 2024, Vol. 9 ›› Issue (2): 173-177. doi: 10.1016/j.joes.2022.04.020

• Research article • Previous Articles

New lump interaction complexitons to the (2+1)-dimensional Korteweg-de Vries equation with electrostatic wave potential in plasmas

Tukur Abdulkadir Sulaiman, Abdullahi Yusuf, Alrazi Abdeljabbar^d, Mustafa Bayram^a

^a Department of Computer Engineering, Biruni University, Istanbul, Turkey
^b Department of Mathematics, Federal University Dutse, Jigawa, Nigeria
^c Department of Mathematics, Near East University TRNC, Mersin 10, Turkey
^d Department of Mathematics, Khalifa University for Science and Technology, Abu Dhabi, UAE

Received:2022-02-23 Revised:2022-04-21 Accepted:2022-04-21 Online:2022-04-28 Published:2022-04-28

Abstract

Abstract:

A soliton is a packet of self-reinforcing waves that maintains its structure when moving at a constant speed. Solitons are caused by the cancellation of the medium's nonlinear and dispersive effects. In plasmas, the bilinear form of Hirota will be utilized to investigate the (2+1)-dimensional Korteweg-de Vries equation with electrostatic wave potential. Solutions for complexiton lump interaction have been developed. To throw further light on the physical qualities of the recorded data, certain 3-dimensional and contour plots are presented to illustrate the interaction elements of these solutions.

Highlights

● The (2+1)-dimensional Korteweg-de Vries equation with electrostatic wave potential in plasmas.

● New lump interaction complexitons are successfully constructed.

● Numerical simulation of the presented results are presented.

Key words: (2+1)-dimensional Korteweg-de Vries equation, Multi waves solutions, Brether waves solutions, Numerical simulations

Tukur Abdulkadir Sulaiman, Abdullahi Yusuf, Alrazi Abdeljabbar, Mustafa Bayram. New lump interaction complexitons to the (2+1)-dimensional Korteweg-de Vries equation with electrostatic wave potential in plasmas[J]. Journal of Ocean Engineering and Science, 2024, 9(2): 173-177.

Tukur Abdulkadir Sulaiman, Abdullahi Yusuf, Alrazi Abdeljabbar, Mustafa Bayram. [J]. Journal of Ocean Engineering and Science, 2024, 9(2): 173-177.

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URL: https://www.qk.sjtu.edu.cn/joes/EN/10.1016/j.joes.2022.04.020

https://www.qk.sjtu.edu.cn/joes/EN/Y2024/V9/I2/173

Figures/Tables 4

Fig.1 The 3D and density view of Eq. (7) under

k = 2.4, γ_{1} = 4, δ_{2} = 5.52, δ_{4} = 4.4, δ_{1} = 9.94

Fig.1 The 3D and density view of Eq. (7) under $k = 2.4, γ_{1} = 4, δ_{2} = 5.52, δ_{4} = 4.4, δ_{1} = 9.94$ .

Fig.2 The 3D and density view of Eq. (9) under

k = 1.4, γ_{3} = 2.1, δ_{2} = 3.1, δ_{3} = 2.2

Fig.2 The 3D and density view of Eq. (9) under $k = 1.4, γ_{3} = 2.1, δ_{2} = 3.1, δ_{3} = 2.2$ .

Fig.3 The 3D and density view of Eq. (14) under

k = 1.8, λ_{0} = 2.6,; p_{0} = 1, η_{1} = 5.52

Fig.3 The 3D and density view of Eq. (14) under $k = 1.8, λ_{0} = 2.6,; p_{0} = 1, η_{1} = 5.52$ .

Fig.4 The 3D and density view of Eq. (16) under

k = 1, p_{0} = 1.8, η_{2} = 5.02

Fig.4 The 3D and density view of Eq. (16) under $k = 1, p_{0} = 1.8, η_{2} = 5.02$ .

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