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Diverse Multiple Lump Analytical Solutions for Ion Sound and Langmuir Waves

Abdulmohsen D. Alruwaili, Aly R. Seadawy, Syed T. R. Rizvi and Sid Ahmed O. Beinane
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Abdulmohsen D. Alruwaili: Mathematics Department, College of Science, Jouf University, Sakaka 72341, Saudi Arabia
Aly R. Seadawy: Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah 41411, Saudi Arabia
Syed T. R. Rizvi: Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Sakaka 72341, Pakistan
Sid Ahmed O. Beinane: Mathematics Department, College of Science, Jouf University, Sakaka 72341, Saudi Arabia

Mathematics, 2022, vol. 10, issue 2, 1-21

Abstract: In this work, we study a time-fractional ion sound and Langmuir waves system (FISLWS) with Atangana–Baleanu derivative (ABD). We use a fractional ABD operator to transform our system into an ODE. We investigate multiwaves, periodic cross-kink, rational, and interaction solutions by the combination of rational, trigonometric, and various bilinear functions. Furthermore, 3D, 2D, and relevant contour plots are presented for the natural evolution of the gained solutions under the selection of proper parameters.

Keywords: multiwave; periodic cross-kink solutions; rational and interaction solutions; time-fractional ion sound and Langmuir waves system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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