On the (Non)Removability of Spectral Parameters in Z 2 -Graded Zero-Curvature Representations and Its ApplicationsKiselev, A. V. & Krutov, A. O., 15-Apr-2019, In : Acta applicandae mathematicae. 160, 1, p. 129-167 39 p.
Research output: Contribution to journal › Article › Academic › peer-review
We generalise to the 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 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 Frölicher–Nijenhuis bracket.
|Number of pages||39|
|Journal||Acta applicandae mathematicae|
|Publication status||Published - 15-Apr-2019|
- Frölicher–Nijenhuis bracket, Gardner’s deformation, Korteweg–de Vries equation, Removability, Spectral parameter, Supersymmetry, Zero-curvature representation