Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866911151548268544 |
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| author | Kamiya, Ryo Kanki, Masataka Mase, Takafumi Tokihiro, Tetsuji |
| author_facet | Kamiya, Ryo Kanki, Masataka Mase, Takafumi Tokihiro, Tetsuji |
| contents | We introduce an equation defined on a multi-dimensional lattice, which can be considered as an extension to the coprimeness-preserving discrete KdV like equation in our previous paper. The equation is also interpreted as a higher-dimensional analogue of the Hietarinta-Viallet equation, which is famous for its singularity confining property while having an exponential degree growth. As the main theorem we prove the Laurent and the irreducibility properties of the equation in its "tau-function" form. From the theorem the coprimeness of the equation follows.
In Appendix we review the coprimeness-preserving discrete KdV like equation whichis a base equation for our main system and prove the properties such as the coprimeness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_11937 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice Kamiya, Ryo Kanki, Masataka Mase, Takafumi Tokihiro, Tetsuji Exactly Solvable and Integrable Systems Mathematical Physics Chaotic Dynamics We introduce an equation defined on a multi-dimensional lattice, which can be considered as an extension to the coprimeness-preserving discrete KdV like equation in our previous paper. The equation is also interpreted as a higher-dimensional analogue of the Hietarinta-Viallet equation, which is famous for its singularity confining property while having an exponential degree growth. As the main theorem we prove the Laurent and the irreducibility properties of the equation in its "tau-function" form. From the theorem the coprimeness of the equation follows. In Appendix we review the coprimeness-preserving discrete KdV like equation whichis a base equation for our main system and prove the properties such as the coprimeness. |
| title | Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Chaotic Dynamics |
| url | https://arxiv.org/abs/2002.11937 |