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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

Special Issues: Recent Advances in Fractional Calculus with Real World Applications

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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Keywords conformable (2+1)-dimensional Ablowitz-Kaup-Newell-Segur equation; sine Gordon expansion method; complex soliton solutions

Citation: Wei Gao, Gulnur Yel, Haci Mehmet Baskonus, Carlo Cattani. Complex solitons in the conformable (2+1)-dimensional Ablowitz-Kaup-Newell-Segur equation. AIMS Mathematics, 2020, 5(1): 507-521. doi: 10.3934/math.2020034


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