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Перегляд Відділення математики за назвою

Репозиторій DSpace/Manakin

Перегляд Відділення математики за назвою

Сортувати за: Порядок: Результатів:

  • Bermudez, David; Fern'andez C., David J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation. In this work, it will be shown that ...
  • Kiselev, A.V.; Wolf, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We construct new integrable coupled systems of N = 1 supersymmetric equations and present integrable fermionic extensions of the Burgers and Boussinesq equations. Existence of infinitely many higher symmetries is demonstrated ...
  • Schmidtt, D.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We couple two copies of the supersymmetric mKdV hierarchy by means of the algebraic dressing technique. This allows to deduce the whole set of (N,N) supersymmetry transformations of the relativistic sector of the extended ...
  • David J. Fernández C.; Gadella, M.; Nieto, L.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations ...
  • Pilipenko, A.Yu. (2006)
    We prove an analogue of the Stroock–Varadhan theorem for stochastic flows describing a motion of interacting particles in a random media. A version of the Itˆo lemma for functions on a measure-valued process is obtained.
  • Nahirnyj, T.; Tchervinka, K. (Фізико-математичне моделювання та інформаційні технології, 2008)
    Within the framework of local gradient approach the stressed state of a cylinder is examined during the process of its heating. The obtained relations are used for the study of surface tension and dependence of tensile ...
  • Gaglione, A.M.; Lipschutz, S.; Spellman, D. (Algebra and Discrete Mathematics, 2012)
    There has been recent interest in Stallings’ Pregroups. (See [2] and [12].) This paper gives a survey of generalized pregroups. We also answer a question of Reinhold Baer [1] on pregroups and answer a generalization of ...
  • Hasebe, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We review the recent developments of the SUSY quantum Hall effect [hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007, arXiv:0705.4527]. We introduce a SUSY formulation of the quantum Hall effect on supermanifolds. ...
  • Bogoliubov, N.N.; Prykarpatsky, A.K.; Blackmore, D. (Нелінійні коливання, 1999)
    We study swept-volume dynamical systems for which several hydrodynamical models are formulated. The properties of those hydrodynamical models are studied by means of the algebraic Kostant – Symes technique. A differentia ...
  • Brouwer, A.E.; Popoviciu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Let Vn be the SL₂-module of binary forms of degree n and let V=V₁⊕V₃⊕V₄. We show that the minimum number of generators of the algebra R=C[V]SL₂ of polynomial functions on V invariant under the action of SL₂ equals 63. This ...
  • Dupont, L.D.; Villarreal, R.H. (Algebra and Discrete Mathematics, 2010)
    Let G be a simple graph and let Ic(G) be its ideal of vertex covers. We give a graph theoretical description of the irreducible b-vertex covers of G, i.e., we describe the minimal generators of the symbolic Rees algebra ...
  • Ungor, B.; Kurtulmaz, Y.; Halicioglu, S.; Harmanci, A. (Algebra and Discrete Mathematics, 2015)
    Let R be an arbitrary ring with identity and M a right R-module with S=EndR(M). In this paper, we study right R-modules M having the property for f,g∈EndR(M) and for m∈M, the condition fgm=0 implies gfm=0. We prove that ...
  • Wise, D.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The ...
  • Eastwood, M.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The purpose of this article is to motivate the study of invariant, and especially conformally invariant, differential pairings. Since a general theory is lacking, this work merely presents some interesting examples of these ...
  • Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with E₆⁽¹⁾ symmetry. We present a description of a set of symmetries of the ...
  • Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We wish to show that the root lattice of Bäcklund transformations of the q-analogue of the third and fourth Painlevé equations, which is of type (A₂+A₁)⁽¹⁾, may be expressed as a quotient of the lattice of connection ...
  • Maksymenko, S.I. (Нелінійні коливання, 2009)
    Let D² ⊂ R² be a closed unit 2-disk centered at the origin O ∈ R², and F be a smooth vector field such that O is a unique singular point of F and all other orbits of F are simple closed curves wrapping once around O. Thus ...
  • Egri-Nagy, A.; Nehaniv, C.L. (Algebra and Discrete Mathematics, 2015)
    For a given reachable automaton A, we prove that the (state-) endomorphism monoid End(A) divides its characteristic monoid M(A). Hence so does its (state-)automorphism group Aut(A), and, for finite A, Aut(A) is a homomorphic ...
  • Maksymenko, S.I. (Нелінійні коливання, 2010)
    Let D² ⊂ R² be a closed unit 2-disk centered at the origin O ∈ R², and F be a smooth vector field such that O is a unique singular point of F and all other orbits of F are simple closed curves wrapping once around O. Thus ...
  • Calvaruso, G.; Zaeim, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Locally homogeneous Lorentzian three-manifolds with recurrect curvature are special examples of Walker manifolds, that is, they admit a parallel null vector field. We obtain a full classification of the symmetries of these ...

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