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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:

  • 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.
  • Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations 
    Gerdt, V.P.; Blinkov, Y.A.; Mozzhilkin, V.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this paper we present an algorithmic approach to the generation of fully conservative difference schemes for linear partial differential equations. The approach is based on enlargement of the equations in their integral ...
  • Hamiltonian Flows of Curves in G/SO(N) and Vector Soliton Equations of mKdV and Sine-Gordon Type 
    Anco, S.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The bi-Hamiltonian structure of the two known vector generalizations of the mKdV hierarchy of soliton equations is derived in a geometrical fashion from flows of non-stretching curves in Riemannian symmetric spaces G/SO(N). ...
  • Heat Kernel Measure on Central Extension of Current Groups in any Dimension 
    Léandre, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We define measures on central extension of current groups in any dimension by using infinite dimensional Brownian motion.
  • Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy 
    Svinin, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We consider the extended discrete KP hierarchy and show that similarity reduction of its subhierarchies lead to purely discrete equations with dependence on some number of parameters together with equations governing ...
  • Integrable hierarchy of higher nonlinear Schrödinger type equations 
    Kundu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Addition of higher nonlinear terms to the well known integrable nonlinear Schrödinger (NLS) equations, keeping the same linear dispersion (LD) usually makes the system nonintegrable. We present a systematic method through ...
  • Integrable Models of Interaction of Matter with Radiation 
    Inozemtsev, V.I.; Inozemtseva, N.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The simplified models of interaction of charged matter with resonance modes of radiation generalizing the well-known Jaynes-Cummings and Dicke models are considered. It is found that these new models are integrable for ...

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