Наукова електронна бібліотека
періодичних видань НАН України

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver 
    Mencattini, I.; Tacchella, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show that there exists a morphism between a group Γalg introduced by G. Wilson and a quotient of the group of tame symplectic automorphisms of the path algebra of a quiver introduced by Bielawski and Pidstrygach. The ...
  • On the Linearization of Second-Order Ordinary Differential Equations to the Laguerre Form via Generalized Sundman Transformations 
    Mustafa, M.T.; Al-Dweik, A.Y.; Mara'beh, R.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The linearization problem for nonlinear second-order ODEs to the Laguerre form by means of generalized Sundman transformations (S-transformations) is considered, which has been investigated by Duarte et al. earlier. A ...
  • Relative Critical Points 
    Lewis, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appropriate scalar functions parametrized by the Lie algebra (or its dual) of the symmetry group. Setting aside the structures ...
  • Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups 
    Coquereaux, R.; Zuber, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Drinfeld doubles of finite subgroups of SU(2) and SU(3) are investigated in detail. Their modular data – S, T and fusion matrices – are computed explicitly, and illustrated by means of fusion graphs. This allows us to ...
  • Invertible Darboux Transformations 
    Shemyakova, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    For operators of many different kinds it has been proved that (generalized) Darboux transformations can be built using so called Wronskian formulae. Such Darboux transformations are not invertible in the sense that the ...
  • The Clifford Deformation of the Hermite Semigroup 
    De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    This paper is a continuation of the paper [De Bie H., Ørsted B., Somberg P., Souček V., Trans. Amer. Math. Soc. 364 (2012), 3875–3902], investigating a natural radial deformation of the Fourier transform in the setting of ...
  • Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle 
    Đurđevich, M.; Sontz, S.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle. The covariant derivatives associated to this connection ...
  • Vector-Valued Polynomials and a Matrix Weight Function with B₂-Action. II 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    This is a sequel to [SIGMA 9 (2013), 007, 23 pages], in which there is a construction of a 2×2 positive-definite matrix function K(x) on R². The entries of K(x) are expressed in terms of hypergeometric functions. This ...
  • Fourier, Gegenbauer and Jacobi Expansions for a Power-Law Fundamental Solution of the Polyharmonic Equation and Polyspherical Addition Theorems 
    Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space. From these series ...
  • Two-Dimensional Toda-Heisenberg Lattice 
    Vekslerchik, V.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this ...
  • The Symmetry Group of Lamé's System and the Associated Guichard Nets for Conformally Flat Hypersurfaces 
    dos Santos, J.P.; Tenenblat, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider conformally flat hypersurfaces in four dimensional space forms with their associated Guichard nets and Lamé's system of equations. We show that the symmetry group of the Lamé's system, satisfying Guichard ...
  • Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries 
    Qu, C.; Song, J.; Yao, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper, multi-component generalizations to the Camassa-Holm equation, the modified Camassa-Holm equation with cubic nonlinearity are introduced. Geometric formulations to the dual version of the Schrödinger equation, ...
  • Euler Equations Related to the Generalized Neveu-Schwarz Algebra 
    Zuo, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper, we study supersymmetric or bi-superhamiltonian Euler equations related to the generalized Neveu-Schwarz algebra. As an application, we obtain several supersymmetric or bi-superhamiltonian generalizations of ...
  • Geometry of Optimal Control for Control-Affine Systems 
    Clelland, J.N.; Moseley, C.G.; Wilkens, G.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three. We compute local isometric ...
  • From Quantum AN to E₈ Trigonometric Model: Space-of-Orbits View 
    Turbiner, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits). These models are completely-integrable and admit ...
  • On Addition Formulae of KP, mKP and BKP Hierarchies 
    Shigyo, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper we study the addition formulae of the KP, the mKP and the BKP hierarchies. We prove that the total hierarchies are equivalent to the simplest equations of their addition formulae. In the case of the KP and ...
  • Dynamical Equations, Invariants and Spectrum Generating Algebras of Mechanical Systems with Position-Dependent Mass 
    Sara Cruz y Cruz; Rosas-Ortiz, Oscar (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We analyze the dynamical equations obeyed by a classical system with position-dependent mass. It is shown that there is a non-conservative force quadratic in the velocity associated to the variable mass. We construct the ...
  • Upper Bounds for Mutations of Potentials 
    Cruz Morales, J.A.; Galkin, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this note we provide a new, algebraic proof of the excessive Laurent phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A., Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue ...
  • On the N-Solitons Solutions in the Novikov-Veselov Equation 
    Chang, J.-H. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We construct the N-solitons solution in the Novikov-Veselov equation from the extended Moutard transformation and the Pfaffian structure. Also, the corresponding wave functions are obtained explicitly. As a result, the ...
  • On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces 
    Cheh, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show how to find a complete set of necessary and sufficient conditions that solve the fixed-parameter local congruence problem of immersions in G-spaces, whether homogeneous or not, provided that a certain kth order jet ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис