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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • 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, ...
  • 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 ...
  • 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 ...
  • Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics 
    Dasgupta, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations ...
  • The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas 
    Anderson, I.M.; Fels, M.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    To every Darboux integrable system there is an associated Lie group G which is a fundamental invariant of the system and which we call the Vessiot group. This article shows that solving the Cauchy problem for a Darboux ...
  • Integrable Flows for Starlike Curves in Centroaffine Space 
    Calini, A.; Ivey, T.; Beffa, G.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We construct integrable hierarchies of flows for curves in centroaffine R³ through a natural pre-symplectic structure on the space of closed unparametrized starlike curves. We show that the induced evolution equations for ...
  • Bispectrality of the Complementary Bannai-Ito Polynomials 
    Genest, V.X.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A one-parameter family of operators that have the complementary Bannai-Ito (CBI) polynomials as eigenfunctions is obtained. The CBI polynomials are the kernel partners of the Bannai-Ito polynomials and also correspond to ...
  • The Unruh Effect in General Boundary Quantum Field Theory 
    Colosi, D.; Rätzel, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In the framework of the general boundary formulation (GBF) of scalar quantum field theory we obtain a coincidence of expectation values of local observables in the Minkowski vacuum and in a particular state in Rindler ...
  • Object-Image Correspondence for Algebraic Curves under Projections 
    Burdis, J.M.; Kogan, I.A.; Hong, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a novel algorithm for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. The motivation comes from the problem of ...
  • A Projection Argument for Differential Inclusions, with Applications to Persistence of Mass-Action Kinetics 
    Gopalkrishnan, M.; Miller, E.; Shiu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Motivated by questions in mass-action kinetics, we introduce the notion of vertexical family of differential inclusions. Defined on open hypercubes, these families are characterized by particular good behavior under ...
  • G-Strands and Peakon Collisions on Diff(R) 
    Holm, D.D.; Ivanov, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A G-strand is a map g: R×R→G for a Lie group G that follows from Hamilton's principle for a certain class of G-invariant Lagrangians. Some G-strands on finite-dimensional groups satisfy 1+1 space-time evolutionary equations ...
  • Solving Local Equivalence Problems with the Equivariant Moving Frame Method 
    Valiquette, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Given a Lie pseudo-group action, an equivariant moving frame exists in the neighborhood of a submanifold jet provided the action is free and regular. For local equivalence problems the freeness requirement cannot always ...
  • On Orbifold Criteria for Symplectic Toric Quotients 
    Farsi, C.; Seaton, C.; Herbig, H.-C (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce the notion of regular symplectomorphism and graded regular symplectomorphism between singular phase spaces. Our main concern is to exhibit examples of unitary torus representations whose symplectic quotients ...
  • The Universal Askey-Wilson Algebra and DAHA of Type (Cv₁,C₁) 
    Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
  • 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 ...
  • 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 ...
  • 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 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 ...

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