Darboux covariant equations of von Neumann type and their generalizations | Zendy

Jan L. Cieśliński | Zendy; Marek Czachor | Zendy; N. V. Ustinov | Zendy

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Darboux covariant equations of von Neumann type and their generalizations

Author(s) -

Jan L. Cieśliński,

Marek Czachor,

N. V. Ustinov

Publication year - 2003

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1554762

Subject(s) - covariant transformation , mathematics , lax pair , pure mathematics , nonlinear system , darboux integral , toda lattice , operator (biology) , lattice (music) , mathematical analysis , mathematical physics , algebra over a field , integrable system , physics , geometry , biochemistry , chemistry , curvature , repressor , quantum mechanics , transcription factor , acoustics , gene

Lax pairs with operator valued coefficients, which are explicitly connectedby means of an additional condition, are considered. This condition is provedto be covariant with respect to the Darboux transformation of a general form.Nonlinear equations arising from the compatibility condition of the Lax pairsin the matrix case include, in particular, Nahm equations, Volterra,Bogoyavlenskii and Toda lattices. The examples of another one-, two- andmulti-field lattice equations are also presented.Comment: 18 pages, LaTeX, revised versio

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