A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras

DOI10.1016/S0375-9601(01)00551-5zbMath0970.15021MaRDI QIDQ5944243

Jan L. Cieśliński, Waldemar Biernacki

Publication date: 4 October 2001

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

isothermic surfacesDarboux matrix

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66)

Related Items (5)

A cohomological approach to immersed submanifolds via integrable systems ⋮ Lax triples for integrable surfaces in three-dimensional space ⋮ Group interpretation of the spectral parameter. The case of isothermic surfaces. ⋮ Discretization of multidimensional submanifolds associated with Spin-valued spectral problems ⋮ Darboux-Bäcklund Transformations for Spin-Valued Linear Problems

Cites Work

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• The reduction problem and the inverse scattering method
• Remarks on the Darboux transform of isothermic surfaces
• The cross ratio and Clifford algebras
• A class of linear spectral problems in Clifford algebras
• Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces
• The Darboux-Bäcklund transformation without using a matrix representation
• Darboux transformations for the nonlinear Schrödinger equations
• An algebraic method to construct the Darboux matrix

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