Nonlinearization of the KdV-type and mKdV-type bilinear equations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909600733724672 |
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| author | Zhang, Xin Liu, Jin Zhang, Da-jun |
| author_facet | Zhang, Xin Liu, Jin Zhang, Da-jun |
| contents | In this paper, we show a general procedure to nonlinearize bilinear equations by using the Bell polynomials. As applications, we obtain nonlinear forms of some integrable bilinear equations (in the sense having 3-soliton solutions) of the KdV type and mKdV type that were found by Jarmo Hietarinta in 1980s. Examples of non-integrable bilinear equations of the KdV type are also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01771 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlinearization of the KdV-type and mKdV-type bilinear equations Zhang, Xin Liu, Jin Zhang, Da-jun Exactly Solvable and Integrable Systems In this paper, we show a general procedure to nonlinearize bilinear equations by using the Bell polynomials. As applications, we obtain nonlinear forms of some integrable bilinear equations (in the sense having 3-soliton solutions) of the KdV type and mKdV type that were found by Jarmo Hietarinta in 1980s. Examples of non-integrable bilinear equations of the KdV type are also given. |
| title | Nonlinearization of the KdV-type and mKdV-type bilinear equations |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2505.01771 |