Analysis of Solitons within the framework of the fractional Zakharov-Kuznetsov equation utilizing Hirota bilinear method
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909328370302976 |
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| author | Dutta, Saugata Chatterjee, Prasanta Nasipuri, Snehalata |
| author_facet | Dutta, Saugata Chatterjee, Prasanta Nasipuri, Snehalata |
| contents | The influence of fractional order parameter $(α)$ in nonlinear waves is examined in the fractional Zakharov-Kuznetsov (FZK) equation with the Hirota bilinear approach. Symbolic computation is used for all mathematical calculations. A significant impact of the fractional order parameter is found on the single and multi-soliton solutions. The fact that the structural change is noticeable when $α$ is raised, is crucial to our investigation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18993 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analysis of Solitons within the framework of the fractional Zakharov-Kuznetsov equation utilizing Hirota bilinear method Dutta, Saugata Chatterjee, Prasanta Nasipuri, Snehalata Pattern Formation and Solitons Mathematical Physics The influence of fractional order parameter $(α)$ in nonlinear waves is examined in the fractional Zakharov-Kuznetsov (FZK) equation with the Hirota bilinear approach. Symbolic computation is used for all mathematical calculations. A significant impact of the fractional order parameter is found on the single and multi-soliton solutions. The fact that the structural change is noticeable when $α$ is raised, is crucial to our investigation. |
| title | Analysis of Solitons within the framework of the fractional Zakharov-Kuznetsov equation utilizing Hirota bilinear method |
| topic | Pattern Formation and Solitons Mathematical Physics |
| url | https://arxiv.org/abs/2409.18993 |