On the non-chiral intermediate long wave equation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866916529820401664 |
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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 equation recently introduced by the authors as a parity-invariant variant of the intermediate long wave equation. For this new equation we: (a) derive a Lax pair, (b) derive a Hirota bilinear form, (c) derive a Bäcklund transformation, (d) use, separately, the Bäcklund transformation and the Lax representation to obtain an infinite number of conservation laws. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_10781 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the non-chiral intermediate long wave equation Berntson, Bjorn K. Langmann, Edwin Lenells, Jonatan Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs 35Q35, 35Q51, 37K10, 37K35 We study integrability properties of the non-chiral intermediate long wave equation recently introduced by the authors as a parity-invariant variant of the intermediate long wave equation. For this new equation we: (a) derive a Lax pair, (b) derive a Hirota bilinear form, (c) derive a Bäcklund transformation, (d) use, separately, the Bäcklund transformation and the Lax representation to obtain an infinite number of conservation laws. |
| title | On the non-chiral intermediate long wave equation |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs 35Q35, 35Q51, 37K10, 37K35 |
| url | https://arxiv.org/abs/2005.10781 |