Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

New Types Of M-fractional Wave Solitons To The Mathematical Physics Model By Three Distinct Techniques

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. 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. Preprints 2023, 2023091299. 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.

Keywords

Space-time fractional simplified modified Camassa-Holm model; Sardar sub-equation technique; Modified simplest equation technique; Generalized Kudryashov technique; Solitons

Subject

Computer Science and Mathematics, Applied Mathematics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.