On the non-chiral intermediate long wave equation II: periodic case
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arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866913616729473024 |
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| author | Berntson, Bjorn K. Langmann, Edwin Lenells, Jonatan |
| author_facet | Berntson, Bjorn K. Langmann, Edwin Lenells, Jonatan |
| contents | We study integrability properties of the non-chiral intermediate long wave (ncILW) equation with periodic boundary conditions. The ncILW equation was recently introduced by the authors as a parity-invariant relative of the intermediate long wave equation. For this new equation we: (a) derive a Lax pair, (b) derive a Hirota bilinear form, (c) use the Hirota method to construct the periodic multi-soliton solutions, (d) derive a Bäcklund transformation, (e) use the Bäcklund transformation to obtain an infinite number of conservation laws. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_02572 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the non-chiral intermediate long wave equation II: periodic case Berntson, Bjorn K. Langmann, Edwin Lenells, Jonatan Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs We study integrability properties of the non-chiral intermediate long wave (ncILW) equation with periodic boundary conditions. The ncILW equation was recently introduced by the authors as a parity-invariant relative of the intermediate long wave equation. For this new equation we: (a) derive a Lax pair, (b) derive a Hirota bilinear form, (c) use the Hirota method to construct the periodic multi-soliton solutions, (d) derive a Bäcklund transformation, (e) use the Bäcklund transformation to obtain an infinite number of conservation laws. |
| title | On the non-chiral intermediate long wave equation II: periodic case |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2103.02572 |