Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929450217635840 |
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| author | Euler, Marianna Euler, Norbert |
| author_facet | Euler, Marianna Euler, Norbert |
| contents | We consider here the class of fully-nonlinear symmetry-integrable third-order evolution equations in 1+1 dimensions that were proposed recently in the journal Open Communications in Nonlinear Mathematical Physics, vol. 2, 216--228 (2022). In particular, we report all zero-order and higher-order potentialisations for this class of equations using their integrating factors (or multipliers) up to order four. Chains of connecting evolution equations are also obtained by multi-potentialisations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05722 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations Euler, Marianna Euler, Norbert Exactly Solvable and Integrable Systems We consider here the class of fully-nonlinear symmetry-integrable third-order evolution equations in 1+1 dimensions that were proposed recently in the journal Open Communications in Nonlinear Mathematical Physics, vol. 2, 216--228 (2022). In particular, we report all zero-order and higher-order potentialisations for this class of equations using their integrating factors (or multipliers) up to order four. Chains of connecting evolution equations are also obtained by multi-potentialisations. |
| title | Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2403.05722 |