On Construction of a Super Hierarchy of the Wadati-Konno-Ichikawa Equation

In this paper, a super Wadati-Konno-Ichikawa (WKI) hierarchy associated with a 3×3 matrix spectral problem is derived with the help of the zero-curvature equation. We obtain the super bi-Hamiltonian structures by using of the super trace identity. Infinitely, many conserved laws of the super WKI equ...

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Bibliographic Details
Published in:Advances in mathematical physics 2020, Vol.2020 (2020), p.1-7
Main Authors: Li, Xuemei, Li, Lutong
Format: Article
Language:English
Subjects:
Applied mathematics
Conservation laws
Physics
Theoretical physics
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Summary:In this paper, a super Wadati-Konno-Ichikawa (WKI) hierarchy associated with a 3×3 matrix spectral problem is derived with the help of the zero-curvature equation. We obtain the super bi-Hamiltonian structures by using of the super trace identity. Infinitely, many conserved laws of the super WKI equation are constructed by using spectral parameter expansions.
ISSN:1687-9120
1687-9139
DOI:10.1155/2020/6838731