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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:

  • Ballesteros, A.; Enciso, A.; Herranz, F.J.; Ragnisco, O.; Riglioni, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The Stäckel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler-Coloumb potentials, in order to obtain maximally superintegrable classical systems on N-dimensional ...
  • Tanoudis, Y.; Daskaloyannis, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In the three-dimensional flat space, a classical Hamiltonian, which has five functionally independent integrals of motion, including the Hamiltonian, is characterized as superintegrable. Kalnins, Kress and Miller (J. Math. ...
  • Deguchi, T.; Sato, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show some symmetry relations among the correlation functions of the integrable higher-spin XXX and XXZ spin chains, where we explicitly evaluate the multiple integrals representing the one-point functions in the spin-1 ...
  • Carignano, A.; Fatibene, L.; McLenaghan, R.L.; Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize ...
  • Hietarinta, J.; Zhang, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Integrable multi-component lattice equations of the Boussinesq family have been known for some time. Recently some new equations of this type were found using the Consistency-Around-the-Cube approach. Here we investigate ...
  • Murata, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    An ultradiscrete system corresponding to the q-Painlevé equation of type A₆⁽¹⁾, which is a q-difference analogue of the second Painlevé equation, is proposed. Exact solutions with two parameters are constructed for the ...
  • Nagasawa, T.; Ohya, S.; Sakamoto, K.; Sakamoto, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that quantum mechanical supersymmetries are emerged in Kaluza-Klein spectrum of linearized gravity in several warped backgrounds as a consequence of higher-dimensional general coordinate invariance. These emergent ...
  • 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 ...
  • Khoroshkin, S.; Ogievetsky, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We describe, in terms of generators and relations, the reduction algebra, related to the diagonal embedding of the Lie algebra gln into gln⊕gln. Its representation theory is related to the theory of decompositions of tensor ...
  • Shi, Y.; Zhang, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In the paper we present rational solutions for the H3 and Q1 models in the Adler-Bobenko-Suris lattice list. These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the ...
  • Etingof, P.; Rains, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study differential operators on an elliptic curve of order higher than 2 which are algebraically integrable (i.e., finite gap). We discuss classification of such operators of order 3 with one pole, discovering exotic ...
  • Wolf, K.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4,R), whose maximal compact subgroup is the Fourier group U(2)F; this includes isotropic and anisotropic Fourier transforms, ...
  • 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 ...
  • Bozhkov, Y.; Olver, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic ...
  • Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    For integral representations of associated Legendre functions in terms of modified Bessel functions, we establish justification for differentiation under the integral sign with respect to parameters. With this justification, ...
  • Anco, S.C.; Ali, S.; Wolf, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions. The method uses a separation ansatz to solve an equivalent ...
  • Schillewaert, J.; Thas, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    For Riemannian manifolds there are several examples which are isospectral but not isometric, see e.g. J. Milnor [Proc. Nat. Acad. Sci. USA 51 (1964), 542]; in the present paper, we investigate pairs of domains in R² which ...
  • Gerdjikov, V.S.; Grahovski, G.G.; Mikhailov, A.V.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A special class of integrable nonlinear differential equations related to A.III-type symmetric spaces and having additional reductions are analyzed via the inverse scattering method (ISM). Using the dressing method we ...
  • Levi, D.; Winternitz, P.; Yamilov, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A symmetry classification is performed for a class of differential-difference equations depending on 9 parameters. A 6-parameter subclass of these equations is an integrable discretization of the Krichever-Novikov equation. ...
  • Montesinos, M.; Velázquez, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A detailed analysis of the BF formulation for general relativity given by Capovilla, Montesinos, Prieto, and Rojas is performed. The action principle of this formulation is written in an equivalent form by doing a ...

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