99 citations · 459 across the 24 of their papers we have counts for
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Algebraic construction of the Darboux matrix revisited
Jan L. Cieslinski
We present algebraic construction of Darboux matrices for 1+1-dimensional integrable systems of nonlinear partial differential equations with a special stress on the nonisospectral…
The Darboux-Backlund transformation for the static 2-dimensional continuum Heisenberg chain
Jan L. Cieslinski, Joanna Czarnecka
We construct the Darboux-Backlund transformation for the sigma model describing static configurations of the 2-dimensional classical continuum Heisenberg chain. The transformation…
Discretization of multidimensional submanifolds associated with Spin-valued spectral problems
Jan L. Cieslinski
We present a large family of Spin(p,q)-valued discrete spectral problems. The associated discrete nets generated by the so called Sym-Tafel formula are circular nets (i.e., all ele…
Darboux Covariant Equations of von Neumann Type and their Generalizations
Jan L. Cieslinski, Marek Czachor, Nikolai V. Ustinov
Lax pairs with operator valued coefficients, which are explicitly connected by means of an additional condition, are considered. This condition is proved to be covariant with respe…