Exact analytical soliton solutions of the M-fractional Akbota equation
Awadalla M. Taishiyeva A. Myrzakulov R. Alahmadi J. Zaagan A.A. Bekir A.
December 2024Nature Research
Scientific Reports
2024#14Issue 1
In this paper we explore the new analytical soliton solutions of the truncated M-fractional nonlinear (1+1)-dimensional Akbota equation by applying the expa function technique, Sardar sub-equation and generalized kudryashov techniques. Akbota is an integrable equation which is Heisenberg ferromagnetic type equation and have much importance for the analysis of curve as well as surface geometry, in optics and in magnets. The obtained results are in the form of dark, bright, periodic and other soliton solutions. The gained results are verified as well as represented by two-dimensional, three-dimensional and contour graphs. The gained results are newer than the existing results in the literature due to the use of fractional derivative. The obtained results are very helpful in optical fibers, optics, telecommunications and other fields. Hence, the gained solutions are fruitful in the future study for these models. The used techniques provide the different variety of solutions. At the end, the applied techniques are simple, fruitful and reliable to solve the other models in mathematical physics.
Analytical soliton solutions , expa function technique , Fractional Akbota equation , Generalized Kudryashov technique , Sardar sub-equation technique
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Department of Mathematics and Statistics, College of Science, King Faisal University, Al Ahsa, Hofuf, 31982, Saudi Arabia
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
Department of Mathematics, College of Science and Humanities in Al-Kharji, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia
Department of Mathematics, Faculty of Science, Jazan University, Jazan, 45142, Saudi Arabia
Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey
Kh.Dosmukhamedov, Atyrau University, Atyrau, Kazakhstan
Department of Mathematics and Statistics
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Department of Mathematics
Department of Mathematics
Neighbourhood of Akcaglan
Kh.Dosmukhamedov
10 лет помогаем публиковать статьи Международный издатель
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