The Tsarev Generalized Hodograph Method and Isomonodromic Solutions of Integrable Dispersive Systems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909469212934144 |
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| author | Makridin, Zakhar V. Pavlov, Maxim V. |
| author_facet | Makridin, Zakhar V. Pavlov, Maxim V. |
| contents | General and particular solutions of the so called semi-Hamiltonian hydrodynamic type systems can be obtained by the Tsarev Generalized Hodograph Method. Here we show that a natural extension of this approach applied to dispersive integrable systems is determined by isomonodromic deformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17327 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Tsarev Generalized Hodograph Method and Isomonodromic Solutions of Integrable Dispersive Systems Makridin, Zakhar V. Pavlov, Maxim V. Exactly Solvable and Integrable Systems General and particular solutions of the so called semi-Hamiltonian hydrodynamic type systems can be obtained by the Tsarev Generalized Hodograph Method. Here we show that a natural extension of this approach applied to dispersive integrable systems is determined by isomonodromic deformations. |
| title | The Tsarev Generalized Hodograph Method and Isomonodromic Solutions of Integrable Dispersive Systems |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2501.17327 |