Assessment of assorted soliton solutions and impacts analysis of fractional derivatives on wave profiles
The nonlinear geometric optics, neutral scalar masons, unidirectional propagation of small amplitude, long surface gravity waves, long waves with mixed nonlinearity and dissipative influence, and some other real-world circumstances are explained by the time-fractional Nizhnik-Novikov-Veselov and the...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-06-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723002942 |
| _version_ | 1827936184323538944 |
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| author | Asaduzzaman M. Ali Akbar |
| author_facet | Asaduzzaman M. Ali Akbar |
| author_sort | Asaduzzaman |
| collection | DOAJ |
| description | The nonlinear geometric optics, neutral scalar masons, unidirectional propagation of small amplitude, long surface gravity waves, long waves with mixed nonlinearity and dissipative influence, and some other real-world circumstances are explained by the time-fractional Nizhnik-Novikov-Veselov and the Zakharov-Kuznetsov-Benjamin-Bona-Mahony equations. Using the fractional wave transformation, the nonlinear models are converted to nonlinear equations of a single wave variable. Diverse comprehensive, typical, and some standard wave solutions in the form of rational, trigonometric, hyperbolic functions and their assimilations to the stated models are investigated in this article using the (F′/F,1/F)-expansion approach. When the parameters are assigned to definite values, the general waves yield a variety of shapes, including periodic, kink, bell-shaped, anti-kink, periodic-type solitons, etc. The impact of the fractional parameter α on wave patterns has also been studied. It is seen that the soliton shape changes with the change of the fractional order derivative α. Through three and two dimensional plots; the physical properties of different soliton solutions are examined. The results demonstrate the approach is suitable for investigating a range of nonlinear fractional systems in the sense of beta derivative. |
| first_indexed | 2024-03-13T08:07:28Z |
| format | Article |
| id | doaj.art-883192cc42824fd394133a3336293f31 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-13T08:07:28Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-883192cc42824fd394133a3336293f312023-06-01T04:35:48ZengElsevierResults in Physics2211-37972023-06-0149106501Assessment of assorted soliton solutions and impacts analysis of fractional derivatives on wave profiles Asaduzzaman0M. Ali Akbar1Department of Applied Mathematics, University of Rajshahi, BangladeshCorresponding author.; Department of Applied Mathematics, University of Rajshahi, BangladeshThe nonlinear geometric optics, neutral scalar masons, unidirectional propagation of small amplitude, long surface gravity waves, long waves with mixed nonlinearity and dissipative influence, and some other real-world circumstances are explained by the time-fractional Nizhnik-Novikov-Veselov and the Zakharov-Kuznetsov-Benjamin-Bona-Mahony equations. Using the fractional wave transformation, the nonlinear models are converted to nonlinear equations of a single wave variable. Diverse comprehensive, typical, and some standard wave solutions in the form of rational, trigonometric, hyperbolic functions and their assimilations to the stated models are investigated in this article using the (F′/F,1/F)-expansion approach. When the parameters are assigned to definite values, the general waves yield a variety of shapes, including periodic, kink, bell-shaped, anti-kink, periodic-type solitons, etc. The impact of the fractional parameter α on wave patterns has also been studied. It is seen that the soliton shape changes with the change of the fractional order derivative α. Through three and two dimensional plots; the physical properties of different soliton solutions are examined. The results demonstrate the approach is suitable for investigating a range of nonlinear fractional systems in the sense of beta derivative.http://www.sciencedirect.com/science/article/pii/S2211379723002942(2+1)-dimensional Nizhnik-Novikov-Veselov equationZakharov-Kuznetsov-Benjamin-Bona-Mahony equationBeta derivativeSoliton |
| spellingShingle | Asaduzzaman M. Ali Akbar Assessment of assorted soliton solutions and impacts analysis of fractional derivatives on wave profiles Results in Physics (2+1)-dimensional Nizhnik-Novikov-Veselov equation Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation Beta derivative Soliton |
| title | Assessment of assorted soliton solutions and impacts analysis of fractional derivatives on wave profiles |
| title_full | Assessment of assorted soliton solutions and impacts analysis of fractional derivatives on wave profiles |
| title_fullStr | Assessment of assorted soliton solutions and impacts analysis of fractional derivatives on wave profiles |
| title_full_unstemmed | Assessment of assorted soliton solutions and impacts analysis of fractional derivatives on wave profiles |
| title_short | Assessment of assorted soliton solutions and impacts analysis of fractional derivatives on wave profiles |
| title_sort | assessment of assorted soliton solutions and impacts analysis of fractional derivatives on wave profiles |
| topic | (2+1)-dimensional Nizhnik-Novikov-Veselov equation Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation Beta derivative Soliton |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723002942 |
| work_keys_str_mv | AT asaduzzaman assessmentofassortedsolitonsolutionsandimpactsanalysisoffractionalderivativesonwaveprofiles AT maliakbar assessmentofassortedsolitonsolutionsandimpactsanalysisoffractionalderivativesonwaveprofiles |