Fokas-Lenells equation dark soliton and gauge equivalent spin equation
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866917586665472000 |
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| author | Dutta, Riki Talukdar, Sagardeep Saharia, Gautam Kumar Nandy, Sudipta |
| author_facet | Dutta, Riki Talukdar, Sagardeep Saharia, Gautam Kumar Nandy, Sudipta |
| contents | We propose the Hirota bilinearization of the Fokas-Lenells derivative nonlinear Schrodinger equation with a non-vanishing background. The bilinear method is applied using an auxilary function to obtain the dark one soliton solution, dark two soliton solution and eventually the scheme for obtaining dark N soliton solutions. The use of auxilary function in bilinearization makes the method simpler than the ones reported earlier. Later, we have introduced a Lax pair for this integrable equation and using a transformation we have shown that this system is gauge equivalent to a spin system, namely the Landau-Lifshitz equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_15136 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fokas-Lenells equation dark soliton and gauge equivalent spin equation Dutta, Riki Talukdar, Sagardeep Saharia, Gautam Kumar Nandy, Sudipta Exactly Solvable and Integrable Systems We propose the Hirota bilinearization of the Fokas-Lenells derivative nonlinear Schrodinger equation with a non-vanishing background. The bilinear method is applied using an auxilary function to obtain the dark one soliton solution, dark two soliton solution and eventually the scheme for obtaining dark N soliton solutions. The use of auxilary function in bilinearization makes the method simpler than the ones reported earlier. Later, we have introduced a Lax pair for this integrable equation and using a transformation we have shown that this system is gauge equivalent to a spin system, namely the Landau-Lifshitz equation. |
| title | Fokas-Lenells equation dark soliton and gauge equivalent spin equation |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2307.15136 |