Optimal systems, conservation laws, and invariance analysis of the (2 + 1) extended Boiti-Leon-Manna-Pempinelli equation via the lie symmetry approach
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909351135936512 |
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| author | Bhardwaj, Akshita Yadav, Shalini Junaid-U-Rehman, Muhammad Arora, Rajan |
| author_facet | Bhardwaj, Akshita Yadav, Shalini Junaid-U-Rehman, Muhammad Arora, Rajan |
| contents | Lie symmetry analysis has been applied to the extended Boiti-Leon-Manna-Pempinelli (eBLMP) equation. This system illustrates the exchange of information between two waves with distinct dispersion characteristics. The optimal system of the corresponding Lie algebra has been constructed. The equation considered has been reduced into a simpler form for the computation of analytical solutions. The novelty of this research is the optimal system of subalgebras in one dimension using the adjoint action approach. To analyze and understand the eBLMP more clearly, graphs have been plotted. We have also found conservation laws |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11891 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal systems, conservation laws, and invariance analysis of the (2 + 1) extended Boiti-Leon-Manna-Pempinelli equation via the lie symmetry approach Bhardwaj, Akshita Yadav, Shalini Junaid-U-Rehman, Muhammad Arora, Rajan Exactly Solvable and Integrable Systems Mathematical Physics Lie symmetry analysis has been applied to the extended Boiti-Leon-Manna-Pempinelli (eBLMP) equation. This system illustrates the exchange of information between two waves with distinct dispersion characteristics. The optimal system of the corresponding Lie algebra has been constructed. The equation considered has been reduced into a simpler form for the computation of analytical solutions. The novelty of this research is the optimal system of subalgebras in one dimension using the adjoint action approach. To analyze and understand the eBLMP more clearly, graphs have been plotted. We have also found conservation laws |
| title | Optimal systems, conservation laws, and invariance analysis of the (2 + 1) extended Boiti-Leon-Manna-Pempinelli equation via the lie symmetry approach |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2410.11891 |