Cover Image

New solitons and multishock wave structures for the conformable space fractional burger and time fractional sharma-tasso-olver models

This present paper studies the conformable space fractional Burgers, and the time fractional Sharma-Tasso-Olver models; both are highly important for nonlinear diffusive waves in fluid dynamics, sound waves in a viscous medium, and flow in field soils, as well as in gas and plasma dynamics. To retri...

Full description

Saved in:
Bibliographic Details
Main Authors: Akter, Selina, Harun-Or-Roshid, Noor, N.F.M.
Format: Article
Published: Hindawi 2022
Online Access:http://eprints.um.edu.my/41981/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.um.eprints.41981
record_format eprints
spelling my.um.eprints.419812023-10-19T06:51:02Z http://eprints.um.edu.my/41981/ New solitons and multishock wave structures for the conformable space fractional burger and time fractional sharma-tasso-olver models Akter, Selina Harun-Or-Roshid Noor, N.F.M. This present paper studies the conformable space fractional Burgers, and the time fractional Sharma-Tasso-Olver models; both are highly important for nonlinear diffusive waves in fluid dynamics, sound waves in a viscous medium, and flow in field soils, as well as in gas and plasma dynamics. To retrieve explicit solutions of the fractional differential models, we propose an integral scheme, namely, Modified Kudryashov method. We obtain periodic, solitary, mixed periodic-soliton, and polynomial solutions through the approach. In particular, we exhibit topological kink-dark bell wave, topological kink, singular kink, bright bell, peakon solitons, and periodic shape waves to apply suitable values on parameters for both distinct models. The impact of fractionality on the wave shape and its deformation is analyzed and discussed graphically. We also investigate multishock wave's solutions of both models and analyzed the effect of each existing parameters involved in the obtained solutions. To visualize the real characters of the solitary solutions, the graphical elucidation in 3D and 2D profiles are plotted. In computational effort and realization, it is emphasized that the proposed scheme is friendly useful, highly effective, and a powerful mathematical tool to extract exact solitary wave solutions for the differential models, as well as fractional differential models. Hindawi 2022-05 Article PeerReviewed Akter, Selina and Harun-Or-Roshid and Noor, N.F.M. (2022) New solitons and multishock wave structures for the conformable space fractional burger and time fractional sharma-tasso-olver models. Advances in Mathematical Physics, 2022. ISSN 1687-9120, DOI https://doi.org/10.1155/2022/7096486 <https://doi.org/10.1155/2022/7096486>. 10.1155/2022/7096486
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
description This present paper studies the conformable space fractional Burgers, and the time fractional Sharma-Tasso-Olver models; both are highly important for nonlinear diffusive waves in fluid dynamics, sound waves in a viscous medium, and flow in field soils, as well as in gas and plasma dynamics. To retrieve explicit solutions of the fractional differential models, we propose an integral scheme, namely, Modified Kudryashov method. We obtain periodic, solitary, mixed periodic-soliton, and polynomial solutions through the approach. In particular, we exhibit topological kink-dark bell wave, topological kink, singular kink, bright bell, peakon solitons, and periodic shape waves to apply suitable values on parameters for both distinct models. The impact of fractionality on the wave shape and its deformation is analyzed and discussed graphically. We also investigate multishock wave's solutions of both models and analyzed the effect of each existing parameters involved in the obtained solutions. To visualize the real characters of the solitary solutions, the graphical elucidation in 3D and 2D profiles are plotted. In computational effort and realization, it is emphasized that the proposed scheme is friendly useful, highly effective, and a powerful mathematical tool to extract exact solitary wave solutions for the differential models, as well as fractional differential models.
format Article
author Akter, Selina
Harun-Or-Roshid
Noor, N.F.M.
spellingShingle Akter, Selina
Harun-Or-Roshid
Noor, N.F.M.
New solitons and multishock wave structures for the conformable space fractional burger and time fractional sharma-tasso-olver models
author_facet Akter, Selina
Harun-Or-Roshid
Noor, N.F.M.
author_sort Akter, Selina
title New solitons and multishock wave structures for the conformable space fractional burger and time fractional sharma-tasso-olver models
title_short New solitons and multishock wave structures for the conformable space fractional burger and time fractional sharma-tasso-olver models
title_full New solitons and multishock wave structures for the conformable space fractional burger and time fractional sharma-tasso-olver models
title_fullStr New solitons and multishock wave structures for the conformable space fractional burger and time fractional sharma-tasso-olver models
title_full_unstemmed New solitons and multishock wave structures for the conformable space fractional burger and time fractional sharma-tasso-olver models
title_sort new solitons and multishock wave structures for the conformable space fractional burger and time fractional sharma-tasso-olver models
publisher Hindawi
publishDate 2022
url http://eprints.um.edu.my/41981/
_version_ 1781704578847211520
score 13.211869

Similar Items