A class of linear spectral problems in Clifford algebras

DOI10.1016/S0375-9601(00)00086-4zbMath0944.37038MaRDI QIDQ1569587

Jan L. Cieśliński

Publication date: 3 July 2000

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

zbMATH Keywords

integrable systemsClifford algebrasspectral problemssine-Gordon equationisothermic surfaces

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Clifford algebras, spinors (15A66) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items

Lax triples for integrable surfaces in three-dimensional space, Cartan frames and algebras with links to integrable systems differential equations and surfaces, Discretization of multidimensional submanifolds associated with Spin-valued spectral problems, A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras, Darboux-Bäcklund Transformations for Spin-Valued Linear Problems

Cites Work

• The reduction problem and the inverse scattering method
• The cross ratio and Clifford algebras
• Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces
• The spectral interpretation of \(n\)-spaces of constant negative curvature immersed in \({\mathbb{R}}^{2n-1}\)
• Vectorial Ribaucour transformations for the Lamé equations
• The Darboux-Bianchi-B\"acklund transformation and soliton surfaces
• Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality
• A generalized formula for integrable classes of surfaces in Lie algebras
• An algebraic method to construct the Darboux matrix
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