Effect of truncated M-fractional derivative on the new exact solitons to the Shynaray-IIA equation and stability analysis
Altalbe A. Taishiyeva A. Myrzakulov R. Bekir A. Zaagan A.A.
February 2024Elsevier B.V.
Results in Physics
2024#57
We explore the new exact solitons of truncated M-fractional nonlinear (1+1)-dimensional Shynaray-IIA equation by applying the expa function, Kudryashov and modified simplest equation techniques. This model represents the phenomena such as tidal waves, tsunamis etc. The obtained results including the kink, singular and other soliton solutions. The gained results satisfied the given model and represented by 2-dimensional, 3-dimensional and contour graphs. The gained results are not present already because of the application of fractional derivative. The effect of the novel definition of derivative on the gained results are also represented by graphically. Stability analysis of the concerned model is also discussed. Hence, the achieved solutions are useful for the future work of the concerned equation. At the end, the applied techniques are simple, fruitful and reliable to solve the other models in mathematical physics.
Exact solitons , Shynaray-IIA equation , Stability analysis , Truncated M-fractional derivative
Text of the article Перейти на текст статьи
Department of Computer Science, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia
Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, 21589, Saudi Arabia
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, Eskisehir, 26030, Turkey
Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia
Department of Computer Science
Faculty of Computing and Information Technology
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Neighbourhood of Akcaglan
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026