On the (non)removability of spectral parameters in \(\mathbb{Z}_{2}\)-graded zero-curvature representations and its applications

DOI10.1007/s10440-018-0198-6zbMath1421.35325arXiv1301.7143OpenAlexW3103650891MaRDI QIDQ2422326

Andrey Krutov, Arthemy V. Kiselev

Publication date: 19 June 2019

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7143

zbMATH Keywords

zero-curvature representationKorteweg-de Vries equationspectral parametersupersymmetryremovabilityFrölicher-Nijenhuis bracketGardner's deformation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Supermanifolds and graded manifolds (58A50) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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