J
Jan L. Cieśliński
Researcher at University of Białystok
Publications - 77
Citations - 1375
Jan L. Cieśliński is an academic researcher from University of Białystok. The author has contributed to research in topics: Integrable system & Clifford algebra. The author has an hindex of 19, co-authored 75 publications receiving 1274 citations. Previous affiliations of Jan L. Cieśliński include University of Warsaw.
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Isothermic surfaces in E3 as soliton surfaces
TL;DR: In this article, the theory of isothermic surfaces in E 3 is reformulated within the modern theory of completely integrable (soliton) systems, which enables one to study the geometrical properties of isormic surfaces by means of powerful spectral methods available in the soliton theory.
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An algebraic method to construct the Darboux matrix
TL;DR: In this paper, an approach based on the Zakharov-Shabat-Mikhailov dressing method is presented to construct the 1−soliton Darboux matrix.
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Algebraic construction of the Darboux matrix revisited
TL;DR: In this article, the authors present algebraic construction of Darboux matrices for 1+1-dimensional integrable systems of nonlinear partial differential equations with a special stress on the nonisospectral case.
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The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices
TL;DR: In this paper, the integrable discrete analogues of the Lame orthogonal systems of coordinates are given by multidimensional circular lattices, i.e., lattices whose elementary quadrilaterals are inscribed in circles.
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A direct approach to the construction of standard and non-standard Lagrangians for dissipative-like dynamical systems with variable coefficients
TL;DR: In this paper, a direct approach to the construction of Lagrangians for a large class of one-dimensional dynamical systems with a simple dependence (monomial or polynomial) on the velocity is presented.