Version 1
: Received: 18 September 2023 / Approved: 19 September 2023 / Online: 20 September 2023 (03:15:55 CEST)
How to cite:
Zafar, A.; Abukhaled, M.; Raheel, M.; Mahnashi, A. M.; Bekir, A.; Arqup, O. A. New Types Of M-fractional Wave Solitons To The Mathematical Physics Model By Three Distinct Techniques. Preprints2023, 2023091299. https://doi.org/10.20944/preprints202309.1299.v1
Zafar, A.; Abukhaled, M.; Raheel, M.; Mahnashi, A. M.; Bekir, A.; Arqup, O. A. New Types Of M-fractional Wave Solitons To The Mathematical Physics Model By Three Distinct Techniques. Preprints 2023, 2023091299. https://doi.org/10.20944/preprints202309.1299.v1
Zafar, A.; Abukhaled, M.; Raheel, M.; Mahnashi, A. M.; Bekir, A.; Arqup, O. A. New Types Of M-fractional Wave Solitons To The Mathematical Physics Model By Three Distinct Techniques. Preprints2023, 2023091299. https://doi.org/10.20944/preprints202309.1299.v1
APA Style
Zafar, A., Abukhaled, M., Raheel, M., Mahnashi, A. M., Bekir, A., & Arqup, O. A. (2023). New Types Of M-fractional Wave Solitons To The Mathematical Physics Model By Three Distinct Techniques. Preprints. https://doi.org/10.20944/preprints202309.1299.v1
Chicago/Turabian Style
Zafar, A., Ahmet Bekir and Omar Abu Arqup. 2023 "New Types Of M-fractional Wave Solitons To The Mathematical Physics Model By Three Distinct Techniques" Preprints. https://doi.org/10.20944/preprints202309.1299.v1
Abstract
In this paper, new types of M-fractional wave solutions of mathematical physics model named as truncated M-fractional (1+1)-dimensional non-linear simplified Modified Camassa-Holm model are achieved by applying the modified simplest equation (MSE), Sardar sub-equation and generalized Kudryashov techniques. The gained solutions containing dark, bright, periodic and mixed wave solitons. Effect of fractional order derivative is also discussed. Achieved wave solitons are verified by Mathematica tool. Few of the gained wave solitons are also described through 2-dimensional,
3-dimensional and contour graphs through Mathematica tool. The gained solutions are helpful for the further development of concerned model. Finally, these techniques are simple, fruitful and effective to deal with non-linear FPDEs.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.