Painleve analysis, Backlund transformation, Lax pair and periodic wave solutions for a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866912326846775296 |
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| author | Wang, Dong Gao, Yi-Tian Yu, Xin Deng, Gao-Fu Liu, Fei-Yan |
| author_facet | Wang, Dong Gao, Yi-Tian Yu, Xin Deng, Gao-Fu Liu, Fei-Yan |
| contents | In this paper, we investigate a generalized (2+1)-dimensional Hirota-Satsuma-Ito (HSI) equation in fluid mechanics. Via the Painleve analysis, we find that the HSI equation is Painleve integrable under certain condition. Bilinear form, Bell-polynomial-type Backlund transformation and Lax pair are constructed with the binary Bell polynomials. One periodic-wave solutions are derived via the Hirota-Riemann method and displayed graphically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_01855 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Painleve analysis, Backlund transformation, Lax pair and periodic wave solutions for a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics Wang, Dong Gao, Yi-Tian Yu, Xin Deng, Gao-Fu Liu, Fei-Yan Exactly Solvable and Integrable Systems Mathematical Physics Dynamical Systems In this paper, we investigate a generalized (2+1)-dimensional Hirota-Satsuma-Ito (HSI) equation in fluid mechanics. Via the Painleve analysis, we find that the HSI equation is Painleve integrable under certain condition. Bilinear form, Bell-polynomial-type Backlund transformation and Lax pair are constructed with the binary Bell polynomials. One periodic-wave solutions are derived via the Hirota-Riemann method and displayed graphically. |
| title | Painleve analysis, Backlund transformation, Lax pair and periodic wave solutions for a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Dynamical Systems |
| url | https://arxiv.org/abs/2112.01855 |