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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Calogero Model(s) and Deformed Oscillators 
    Milekovic, M.; Meljanac, S.; Samsarov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We briefly review some recent results concerning algebraical (oscillator) aspects of the N-body single-species and multispecies Calogero models in one dimension. We show how these models emerge from the matrix generalization ...
  • Combined Analysis of Two- and Three-Particle Correlations in q,p-Bose Gas Model 
    Gavrilik, A.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    q-deformed oscillators and the q-Bose gas model enable effective description of the observed non-Bose type behavior of the intercept (''strength'') λ⁽²⁾ ≡ C⁽²⁾(K,K) - 1 of two-particle correlation function C⁽²⁾(p1,p2) of ...
  • Combined Reduced-Rank Transform 
    Torokhti, A.; Howlett, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We propose and justify a new approach to constructing optimal nonlinear transforms of random vectors. We show that the proposed transform improves such characteristics of rank-reduced transforms as compression ratio, ...
  • Consequences of Symmetries on the Analysis and Construction of Turbulence Models 
    Razafindralandy, D.; Hamdouni, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Since they represent fundamental physical properties in turbulence (conservation laws, wall laws, Kolmogorov energy spectrum, ...), symmetries are used to analyse common turbulence models. A class of symmetry preserving ...
  • Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology 
    Vladimirov, V.A.; Kutafina, E.V.; Pudelko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and the mathematical biology. Analytical ...
  • Coupled Modified KP Hierarchy and Its Dispersionless Limit 
    Takebe, T.; Teo, Lee-Peng (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We define the coupled modified KP hierarchy and its dispersionless limit. This integrable hierarchy is a generalization of the ''half'' of the Toda lattice hierarchy as well as an extension of the mKP hierarchy. The solutions ...
  • Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation 
    Burskii, V.P.; Zhedanov, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We consider conditions for uniqueness of the solution of the Dirichlet or the Neumann problem for 2-dimensional wave equation inside of bi-quadratic algebraic curve. We show that the solution is non-trivial if and only if ...
  • Dispersionless Hirota Equations of Two-Component BKP Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dispersionless limit of this multi-component hierarchy is considered on the level of the τ-function. The so called dispersionless Hirota equations are ...
  • Duality-Symmetric Approach to General Relativity and Supergravity 
    Nurmagambetov, A.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review the application of a duality-symmetric approach to gravity and supergravity with emphasizing benefits and disadvantages of the formulation. Contents of these notes includes: 1) Introduction with putting the accent ...
  • Dynamical R matrices of elliptic quantum groups and connection matrices for the q-KZ equations 
    Konno, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    For any affine Lie algebra g, we show that any finite dimensional representation of the universal dynamical R matrix R(λ) of the elliptic quantum group Bq,λ(g) coincides with a corresponding connection matrix for the ...
  • Eigenvectors of Open Bazhanov-Stroganov Quantum Chain 
    Iorgov, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this contribution we give an explicit formula for the eigenvectors of Hamiltonians of open Bazhanov-Stroganov quantum chain. The Hamiltonians of this quantum chain is defined by the generation polynomial An(λ) which is ...
  • Einstein-Riemann gravity on deformed spaces 
    Wess, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal ...
  • Electroweak Interaction Model with an Undegenerate Double Symmetry 
    Slad, L.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The initial P-invariance of the electroweak interaction Lagrangian together with the low-energy results of the Weinberg-Salam model is provided by a local secondary symmetry. Among the transformation parameters of this ...
  • Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory 
    Sawado, N.; Shiiki, N.; Tanaka, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The Skyrme-Faddeev-Niemi (SFN) model which is an O(3) σ model in three dimensional space up to fourth-order in the first derivative is regarded as a low-energy effective theory of SU(2) Yang-Mills theory. One can show from ...
  • Extension of the Poincaré Symmetry and Its Field Theoretical Implementation 
    Tanasa, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We define a new algebraic extension of the Poincaré symmetry; this algebra is used to implement a field theoretical model. Free Lagrangians are explicitly constructed; several discussions regarding degrees of freedom, ...
  • Fermion on curved spaces, symmetries, and quantum anomalies 
    Visinescu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review the geodesic motion of pseudo-classical spinning particles in curved spaces. Investigating the generalized Killing equations for spinning spaces, we express the constants of motion in terms of Killing-Yano tensors. ...
  • Finding Liouvillian First Integrals of Rational ODEs of Any Order in Finite Terms 
    Kosovtsov, Y.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    It is known, due to Mordukhai-Boltovski, Ritt, Prelle, Singer, Christopher and others, that if a given rational ODE has a Liouvillian first integral then the corresponding integrating factor of the ODE must be of a very ...
  • Functional Integral Approaches to the Bosonization of Effective Multi-Quark Interactions with UA(1) Breaking 
    Hiller, B.; Osipov, A.A.; Bernard, V.; Blin, A.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Low energy hadron phenomenology involving the (u,d,s) quarks is often approached through effective multi-quark Lagrangians with the symmetries of QCD. A very successful approach consists in taking the four-quark ...
  • Generalized Ellipsoidal and Sphero-Conal Harmonics 
    Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Classical ellipsoidal and sphero-conal harmonics are polynomial solutions of the Laplace equation that can be expressed in terms of Lamé polynomials. Generalized ellipsoidal and sphero-conal harmonics are polynomial solutions ...
  • Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation 
    Guha, P.; Olver, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We derive the 2-component Camassa-Holm equation and corresponding N = 1 super generalization as geodesic flows with respect to the H1 metric on the extended Bott-Virasoro and superconformal groups, respectively.

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