Nonlocal pseudosymmetries and Bäcklund transformations as $\mathcal{C}$-morphisms
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910133539307520 |
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| author | Ferraioli, Diego Catalano Silva, Tarcísio Castro |
| author_facet | Ferraioli, Diego Catalano Silva, Tarcísio Castro |
| contents | In this paper, we show how factorisation with respect to nonlocal pseudosymmetries allows one to obtain Bäcklund transformations, interpreted as nonlocal $\mathcal{C}$-morphisms of differential equations. According to this approach, which is illustrated through several examples, the Bäcklund transformations are determined by basic invariants of the exploited nonlocal pseudosymmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01932 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlocal pseudosymmetries and Bäcklund transformations as $\mathcal{C}$-morphisms Ferraioli, Diego Catalano Silva, Tarcísio Castro Differential Geometry Mathematical Physics 58J70, 58J72, 35A30, 58A20, 35B06, 58A15, 58A17, 58A30 In this paper, we show how factorisation with respect to nonlocal pseudosymmetries allows one to obtain Bäcklund transformations, interpreted as nonlocal $\mathcal{C}$-morphisms of differential equations. According to this approach, which is illustrated through several examples, the Bäcklund transformations are determined by basic invariants of the exploited nonlocal pseudosymmetries. |
| title | Nonlocal pseudosymmetries and Bäcklund transformations as $\mathcal{C}$-morphisms |
| topic | Differential Geometry Mathematical Physics 58J70, 58J72, 35A30, 58A20, 35B06, 58A15, 58A17, 58A30 |
| url | https://arxiv.org/abs/2506.01932 |