Dispersionless version of the multicomponent KP hierarchy revisited
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929315584671744 |
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| author | Zabrodin, A. |
| author_facet | Zabrodin, A. |
| contents | We revisit dispersionless version of the multicomponent KP hierarchy considered previously by Takasaki and Takebe. In contrast to their study, we do not fix any distinguished component treating all of them on equal footing. We obtain nonlinear equations for dispersionless tau-function (the F-function) and represent them using the trigonometric parametrization. In this trigonometric uniformization the equations considerably simplify and acquire a nice form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10406 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dispersionless version of the multicomponent KP hierarchy revisited Zabrodin, A. Exactly Solvable and Integrable Systems Mathematical Physics We revisit dispersionless version of the multicomponent KP hierarchy considered previously by Takasaki and Takebe. In contrast to their study, we do not fix any distinguished component treating all of them on equal footing. We obtain nonlinear equations for dispersionless tau-function (the F-function) and represent them using the trigonometric parametrization. In this trigonometric uniformization the equations considerably simplify and acquire a nice form. |
| title | Dispersionless version of the multicomponent KP hierarchy revisited |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2404.10406 |