On Non-Point Invertible Transformations of Difference and Differential-Difference Equations
Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations and autotransformations of the Hietarinta equ...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2010-12-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.092 |
| _version_ | 1811193485357744128 |
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| author | Sergey Ya. Startsev |
| author_facet | Sergey Ya. Startsev |
| author_sort | Sergey Ya. Startsev |
| collection | DOAJ |
| description | Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations and autotransformations of the Hietarinta equation. |
| first_indexed | 2024-04-12T00:10:36Z |
| format | Article |
| id | doaj.art-7baf3c5332d64941b5f0f6b9ea414d07 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-04-12T00:10:36Z |
| publishDate | 2010-12-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-7baf3c5332d64941b5f0f6b9ea414d072022-12-22T03:55:58ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-12-016092On Non-Point Invertible Transformations of Difference and Differential-Difference EquationsSergey Ya. StartsevNon-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations and autotransformations of the Hietarinta equation.http://dx.doi.org/10.3842/SIGMA.2010.092non-point transformationDarboux integrabilitydiscrete Liouville equationhigher symmetry |
| spellingShingle | Sergey Ya. Startsev On Non-Point Invertible Transformations of Difference and Differential-Difference Equations Symmetry, Integrability and Geometry: Methods and Applications non-point transformation Darboux integrability discrete Liouville equation higher symmetry |
| title | On Non-Point Invertible Transformations of Difference and Differential-Difference Equations |
| title_full | On Non-Point Invertible Transformations of Difference and Differential-Difference Equations |
| title_fullStr | On Non-Point Invertible Transformations of Difference and Differential-Difference Equations |
| title_full_unstemmed | On Non-Point Invertible Transformations of Difference and Differential-Difference Equations |
| title_short | On Non-Point Invertible Transformations of Difference and Differential-Difference Equations |
| title_sort | on non point invertible transformations of difference and differential difference equations |
| topic | non-point transformation Darboux integrability discrete Liouville equation higher symmetry |
| url | http://dx.doi.org/10.3842/SIGMA.2010.092 |
| work_keys_str_mv | AT sergeyyastartsev onnonpointinvertibletransformationsofdifferenceanddifferentialdifferenceequations |