On the (non)removability of spectral parameters in $Z_2$-graded zero-curvature representations and its applications
Acta Appl. Math. (2019) Vol.160, n.1, 129--167 We generalise to the $\mathbb{Z}_2$-graded set-up a practical method for inspecting the (non)removability of parameters in zero-curvature representations for partial differential equations (PDEs) under the action of smooth families of gauge transformati...
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| Main Authors | , |
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| Format | Journal Article |
| Language | English |
| Published |
30.01.2013
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| Abstract | Acta Appl. Math. (2019) Vol.160, n.1, 129--167 We generalise to the $\mathbb{Z}_2$-graded set-up a practical method for
inspecting the (non)removability of parameters in zero-curvature
representations for partial differential equations (PDEs) under the action of
smooth families of gauge transformations. We illustrate the generation and
elimination of parameters in the flat structures over $\mathbb{Z}_2$-graded
PDEs by analysing the link between deformation of zero-curvature
representations via infinitesimal gauge transformations and, on the other hand,
propagation of linear coverings over PDEs using the Fr\"olicher--Nijenhuis
bracket. |
|---|---|
| AbstractList | Acta Appl. Math. (2019) Vol.160, n.1, 129--167 We generalise to the $\mathbb{Z}_2$-graded set-up a practical method for
inspecting the (non)removability of parameters in zero-curvature
representations for partial differential equations (PDEs) under the action of
smooth families of gauge transformations. We illustrate the generation and
elimination of parameters in the flat structures over $\mathbb{Z}_2$-graded
PDEs by analysing the link between deformation of zero-curvature
representations via infinitesimal gauge transformations and, on the other hand,
propagation of linear coverings over PDEs using the Fr\"olicher--Nijenhuis
bracket. |
| Author | Kiselev, Arthemy V Krutov, Andrey O |
| Author_xml | – sequence: 1 givenname: Arthemy V surname: Kiselev fullname: Kiselev, Arthemy V – sequence: 2 givenname: Andrey O surname: Krutov fullname: Krutov, Andrey O |
| BackLink | https://doi.org/10.48550/arXiv.1301.7143$$DView paper in arXiv https://doi.org/10.1007/s10440-018-0198-6$$DView published paper (Access to full text may be restricted) |
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| Snippet | Acta Appl. Math. (2019) Vol.160, n.1, 129--167 We generalise to the $\mathbb{Z}_2$-graded set-up a practical method for
inspecting the (non)removability of... |
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| SubjectTerms | Mathematics - Differential Geometry Physics - Exactly Solvable and Integrable Systems |
| Title | On the (non)removability of spectral parameters in $Z_2$-graded zero-curvature representations and its applications |
| URI | https://arxiv.org/abs/1301.7143 |
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