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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7 за датою випуску

Сортувати за: Порядок: Результатів:

  • Curtright, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Continuous interpolates are described for classical dynamical systems defined by discrete time-steps. Functional conjugation methods play a central role in obtaining the interpolations. The interpolates correspond to ...
  • Malykh, A.A.; Sheftel, M.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider a four-dimensional PDE possessing partner symmetries mainly on the example of complex Monge-Ampère equation (CMA). We use simultaneously two pairs of symmetries related by a recursion relation, which are mutually ...
  • Fernández-García, N.; Rosas-Ortiz, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study the energy properties of a particle in one dimensional semi-harmonic rectangular wells and barriers. The integration of energies is obtained by solving a simple transcendental equation. Scattering states are shown ...
  • Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We wish to explore a link between the Lax integrability of the q-Painlevé equations and the symmetries of the q-Painlevé equations. We shall demonstrate that the connection preserving deformations that give rise to the ...
  • Bohm, A.R.; Gadella, M.; Kielanowski, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The meaning of time asymmetry in quantum physics is discussed. On the basis of a mathematical theorem, the Stone-von Neumann theorem, the solutions of the dynamical equations, the Schrödinger equation (1) for states or the ...
  • Filipuk, G.; Van Assche, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We investigate new generalizations of the Meixner polynomials on the lattice N, on the shifted lattice N+1−β and on the bi-lattice N∪(N+1−β). We show that the coefficients of the three-term recurrence relation for the ...
  • Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain ...
  • Hay, M.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We expand the completeness study instigated in [J. Math. Phys. 50 (2009), 103516, 29 pages] which found all 2×2 Lax pairs with non-zero, separable terms in each entry of each Lax matrix, along with the most general nonlinear ...
  • Loktev, S.A.; Natanzon, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that any complex (respectively real) representation of finite group naturally generates a open-closed (respectively Klein) topological field theory over complex numbers. We relate the 1-point correlator for the ...
  • Torre, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The interpretation of the optical Appell transformation, as previously elaborated in relation to the free-space paraxial propagation under both a rectangular and a circular cylindrical symmetry, is reviewed. Then, the ...
  • Fordy, A.P.; Hone, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider nonlinear recurrences generated from the iteration of maps that arise from cluster algebras. More precisely, starting from a skew-symmetric integer matrix, or its corresponding quiver, one can define a set of ...
  • Atkinson, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The type-Q equations lie on the top level of the hierarchy introduced by Adler, Bobenko and Suris (ABS) in their classification of discrete counterparts of KdV-type integrable partial differential equations. We ask what ...
  • Mokhov, O.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The paper is devoted to complete proofs of theorems on consistency on cubic lattices for 3×3 determinants. The discrete nonlinear equations on Z² defined by the condition that the determinants of all 3×3 matrices of values ...
  • Medvedev, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We compute the characteristic Cartan connection associated with a system of third order ODEs. Our connection is different from Tanaka normal one, but still is uniquely associated with the system of third order ODEs. This ...
  • Tsujimoto, S.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A Hopf algebra with four generators among which an involution (reflection) operator, is introduced. The defining relations involve commutators and anticommutators. The discrete series representations are developed. Designated ...
  • Levi, D.; Scimiterna, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we propose some linearizability tests of partial difference equations on a quad-graph given by one point, two points and generalized Hopf-Cole transformations. We apply the so obtained tests to a set of ...
  • Martins, J.F.; Mikovic, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We define a four-dimensional spin-foam perturbation theory for the BF-theory with a B∧B potential term defined for a compact semi-simple Lie group G on a compact orientable 4-manifold M. This is done by using the formal ...
  • Talati, D.; Turhan, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that a recently introduced fifth-order bi-Hamiltonian equation with a differentially constrained arbitrary function by A. de Sole, V.G. Kac and M. Wakimoto is not a new one but a higher symmetry of a third-order ...
  • Calogero, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The original continuous-time ''goldfish'' dynamical system is characterized by two neat formulas, the first of which provides the N Newtonian equations of motion of this dynamical system, while the second provides the ...
  • 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 ...

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