منابع مشابه
Deformations of Transformations of Ribaucour.
and is the tangent of F at x. Dually then, r and 1/k being the absolute points, the conic F the Feuerbach circle, and the conic R a rectangular hyperbola on the four given orthocentric points, and having its centre c on F, if the common diameter of F and R meet R at points dd', then these points are double foci of circular curves of class 3 on the 6 lines; the circles with centres d and d' and ...
متن کاملReciprocal Transformations and Deformations of Integrable Hierarchies
j=s aiD i x and [K]i = ai, and ǫ is an arbitrary constant. The compatibility conditions for (2) and (3) read Ltq = [P≥1(L ) + ǫ[L]0Dx, L], q = 1, 2, . . . . (4) Note that the hierarchy (4) with ǫ = 0 was discovered by Kupershmidt [2]. The goal of the present work is to show that, under a suitable change of dependent and independent variables x, ti, and uk, the “deformed” hierarchy (4) can be tr...
متن کاملSchlesinger transformations for elliptic isomonodromic deformations
Schlesinger transformations are discrete monodromy preserving symmetry transformations of the classical Schlesinger system. Generalizing well-known results from the Riemann sphere we construct these transformations for isomonodromic deformations on genus one Riemann surfaces. Their action on the system’s tau-function is computed and we obtain an explicit expression for the ratio of the old and ...
متن کاملContinuous-discrete integrable equations and Darboux transformations as deformations of associative algebras
Deformations of the structure constants for a class of associative noncommutative algebras generated by Deformation Driving Algebras (DDA’s) are defined and studied. These deformations are governed by the Central System (CS). Such a CS is studied for the case of DDA being the algebra of shifts. Concrete examples of deformations for the three-dimensional algebra governed by discrete and mixed co...
متن کاملIrregular isomonodromic deformations for Garnier systems and Okamoto’s canonical transformations
In this paper we describe the Garnier systems as isomonodromic deformation equations of a linear system with a simple pole at 0 and a Poincaré rank two singularity at infinity. We discuss the extension of Okamoto’s birational canonical transformations to the Garnier systems in more than one variable and to the Schlesinger systems.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2020
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.101.066022