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Перегляд Відділення математики за назвою

Репозиторій DSpace/Manakin

Перегляд Відділення математики за назвою

Сортувати за: Порядок: Результатів:

  • Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem 
    Sakhnovich, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is ...
  • Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation 
    Xue, L.L.; Liu, Q.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and ...
  • Bäcklund Transformation for the BC-Type Toda Lattice 
    Kuznetsov, V.; Sklyanin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its basic properties: canonicity, commutativity ...
  • Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart 
    Carillo, S.; Lo Schiavo, M.; Schiebold, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Classes of third order non-Abelian evolution equations linked to that of Korteweg-de Vries-type are investigated and their connections represented in a non-commutative Bäcklund chart, generalizing results in [Fuchssteiner ...
  • Bäcklund Transformations for First and Second Painlevé Hierarchies 
    Sakka, A.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the ...
  • Bäcklund Transformations for the Kirchhoff Top 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We construct Bäcklund transformations (BTs) for the Kirchhoff top by taking advantage of the common algebraic Poisson structure between this system and the sl(2) trigonometric Gaudin model. Our BTs are integrable maps ...
  • Bäcklund Transformations for the Trigonometric Gaudin Magnet 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We construct a Bäcklund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of variables because of ...
  • Baer semisimple modules and Baer rings 
    Xiaojiang Guo; Shum, K.P. (Algebra and Discrete Mathematics, 2008)
    We consider Baer rings and Baer semisimple R-modules which are generalizations of semisimple modules. Several characterization theorems of Baer semisimple modules are obtained. In particular, we prove that a ring R is a ...
  • Baker-Akhiezer Modules on Rational Varieties 
    Melnik, I.A.; Mironov, A.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The free Baker-Akhiezer modules on rational varieties obtained from CP¹×CPⁿ⁻¹ by identification of two hypersurfaces are constructed. The corollary of this construction is the existence of embedding of meromorphic function ...
  • Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball 
    Berceanu, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We determine the matrix of the balanced metric of the Siegel-Jacobi ball and its inverse. We calculate the scalar curvature, the Ricci form and the Laplace-Beltrami operator of this manifold. We discuss several geometric ...
  • Balanced Metrics and Noncommutative Kähler Geometry 
    Lukic, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions C∞(M) on a Kähler manifold M. In this setup one interprets M as the phase space itself, equipped with ...
  • Balance Systems and the Variational Bicomplex 
    Preston, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this work we show that the systems of balance equations (balance systems) of continuum thermodynamics occupy a natural place in the variational bicomplex formalism. We apply the vertical homotopy decomposition to get a ...
  • Balleans and G-spaces 
    Petrenko, O.V.; Protasov, I.V. (Український математичний журнал, 2012)
    We show that every ballean (equivalently, coarse structure) on a set X can be determined by some group G of permutations of X and some group ideal I on G. We refine this characterization for some basic classes of balleans ...
  • Balleans of bounded geometry and G-spaces 
    Protasov, I.V. (Algebra and Discrete Mathematics, 2008)
    A ballean (or a coarse structure) is a set endowed with some family of subsets which are called the balls. The properties of the family of balls are postulated in such a way that a ballean can be considered as an asymptotical ...
  • Balleans of topological groups 
    Hernández, S.; Protasov, I.V. (Український математичний вісник, 2011)
    A subset S of a topological group G is called bounded if, for every neighborhood U of the identity of G, there exists a finite subset F such that S ⊆ FU, S ⊆ UF. The family of all bounded subsets of G determines two ...
  • Bandwidth reduction in rectangular grids 
    Andreescu, T.; Stromquist, W.; Sunic, Z. (Algebra and Discrete Mathematics, 2007)
    We show that the bandwidth of a square twodimensional grid of arbitrary size can be reduced if two (but not less than two) edges are deleted. The two deleted edges may not be chosen arbitrarily, but they may be chosen ...
  • Bargmann type finite-dimensional reductions of the Lax integrable supersymmetric Boussinesq hierarchy and their integrability 
    Hentosh, O.E. (Нелінійні коливання, 2015)
    For the supersymmetric Boussinesq hierarchy, related with the Lax type flows on the space dual to the Lie algebra of superintegro-differential operators of one anticommuting variable for some non-self-adjoint superdifferential ...
  • Basic Forms and Orbit Spaces: a Diffeological Approach 
    Karshon, Y.; Watts, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    If a Lie group acts on a manifold freely and properly, pulling back by the quotient map gives an isomorphism between the differential forms on the quotient manifold and the basic differential forms upstairs. We show that ...
  • Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions 
    van de Bult, F.J.; Rains, E.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a different basic hypergeometric function ...
  • Basic properties and applications of graded fractal bundles related to Clifford structures: An introduction 
    Ławrynowicz, J.; Suzuki, O.; Castillo Alvarado, F.L. (Український математичний журнал, 2008)
    Using the central extension of the Cuntz C∗-algebra, we study the periodicity for corresponding fractals.

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