Complex solitons in the conformable (2+1)-dimensional Ablowitz-Kaup-Newell-Segur equation

Wei Gao; Gulnur Yel; Haci Mehmet Baskonus; Carlo Cattani; Wei Gao; Gulnur Yel; Haci Mehmet Baskonus; Carlo Cattani

doi:10.3934/math.2020034

AIMS Mathematics

2020, Volume 5, Issue 1: 507-521. doi: 10.3934/math.2020034

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Complex solitons in the conformable (2+1)-dimensional Ablowitz-Kaup-Newell-Segur equation

1.
School of Information Science and Technology, Yunnan Normal University, Yunnan, China
2.
Final International University, Kyrenia Mersin 10, Turkey
3.
Harran University, Faculty of Education, Sanliurfa, Turkey
4.
Tuscia University, Engineering School (DEIM), Viterbo, Italy

Received: 09 October 2019 Accepted: 29 November 2019 Published: 06 December 2019
MSC : 35Qxx, 35C08, 35L05

In this paper, we study on the conformable (2+1)-dimensional Ablowitz-KaupNewell-Segur equation in order to show the existence of complex combined dark-bright soliton solutions. To this purpose an effective method which is the sine-Gordon expansion method is used. The 2D and 3D surfaces under some suitable values of parameters are also plotted.
Citation: Wei Gao, Gulnur Yel, Haci Mehmet Baskonus, Carlo Cattani. Complex solitons in the conformable (2+1)-dimensional Ablowitz-Kaup-Newell-Segur equation[J]. AIMS Mathematics, 2020, 5(1): 507-521. doi: 10.3934/math.2020034

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Abstract

In this paper, we study on the conformable (2+1)-dimensional Ablowitz-KaupNewell-Segur equation in order to show the existence of complex combined dark-bright soliton solutions. To this purpose an effective method which is the sine-Gordon expansion method is used. The 2D and 3D surfaces under some suitable values of parameters are also plotted.

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