On continual classes of evolution equations
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2005
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| _version_ | 1866918162637783040 |
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| author | Sakovich, Sergei |
| author_facet | Sakovich, Sergei |
| contents | The original Miura transformation, considered as a nonlinear potential transformation, is applicable to a continual class of evolution equations, not only to discrete integrable equations and their hierarchies. The same continual class of evolution equations appears from a different problem, namely, from the gauge-invariant description of a zero-curvature representation with a definite x-part containing no essential parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_nlin_0501038 |
| institution | arXiv |
| publishDate | 2005 |
| record_format | arxiv |
| spellingShingle | On continual classes of evolution equations Sakovich, Sergei Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs The original Miura transformation, considered as a nonlinear potential transformation, is applicable to a continual class of evolution equations, not only to discrete integrable equations and their hierarchies. The same continual class of evolution equations appears from a different problem, namely, from the gauge-invariant description of a zero-curvature representation with a definite x-part containing no essential parameter. |
| title | On continual classes of evolution equations |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/nlin/0501038 |