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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.05723 |
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| _version_ | 1866917968858841088 |
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| author | Sakovich, Sergei |
| author_facet | Sakovich, Sergei |
| contents | The problem of integrability is studied for a 3D generalized Hunter-Saxton equation introduced recently by O.I. Morozov. A transformation is found which brings the equation into a constant-characteristic form and simultaneously trivializes the equation's Lax representation. The transformed equation is shown to fail the Painleve test for integrability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05723 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a new 3D generalized Hunter-Saxton equation Sakovich, Sergei Exactly Solvable and Integrable Systems Mathematical Physics The problem of integrability is studied for a 3D generalized Hunter-Saxton equation introduced recently by O.I. Morozov. A transformation is found which brings the equation into a constant-characteristic form and simultaneously trivializes the equation's Lax representation. The transformed equation is shown to fail the Painleve test for integrability. |
| title | On a new 3D generalized Hunter-Saxton equation |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2407.05723 |