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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:

  • 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 ...
  • Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems 
    Charkina, O.V.; Bogdan, M.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The transition from integrable to non-integrable highly-dispersive nonlinear models is investigated. The sine-Gordon and φ⁴-equations with the additional fourth-order spatial and spatio-temporal derivatives, describing the ...
  • Invariant varieties of periodic points for the discrete Euler top 
    Saito, S.; Saitoh, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The behaviour of periodic points of discrete Euler top is studied. We derive invariant varieties of periodic points explicitly. When the top is axially symmetric they are specified by some particular values of the angular ...
  • Large-j Expansion Method for Two-Body Dirac Equation 
    Duviryak, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    By using symmetry properties, the two-body Dirac equation in coordinate representation is reduced to the coupled pair of radial second-order differential equations. Then the large-j expansion technique is used to solve a ...
  • Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces 
    Hentosh, O.Ye. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We obtain via Bäcklund transformation the Hamiltonian representation for a Lax type nonlinear dynamical system hierarchy on a dual space to the Lie algebra of super-integral-differential operators of one anticommuting ...
  • Localized Induction Equation for Stretched Vortex Filament 
    Konno, K.; Kakuhata, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We study numerically the motion of the stretched vortex filaments by using the localized induction equation with the stretch and that without the stretch.
  • Mathematical Analysis of a Generalized Chiral Quark Soliton Model 
    Arai, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A generalized version of the so-called chiral quark soliton model (CQSM) in nuclear physics is introduced. The Hamiltonian of the generalized CQSM is given by a Dirac type operator with a mass term being an operator-valued ...
  • Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices 
    Rosengren, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We study multivariable Christoffel-Darboux kernels, which may be viewed as reproducing kernels for antisymmetric orthogonal polynomials, and also as correlation functions for products of characteristic polynomials of random ...
  • Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter 
    Kordyukova, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We introduce a method of approximate nonclassical Lie-Bäcklund symmetries for partial differential equations with a small parameter and discuss applications of this method to finding of approximate solutions both integrable ...
  • Noncommutative geometry: fuzzy spaces, the Groenewold-Moyal plane 
    Balachandran, A.P.; Qureshi, B.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this talk, we review the basics concepts of fuzzy physics and quantum field theory on the Groenewold-Moyal Plane as examples of noncommutative spaces in physics. We introduce the basic ideas, and discuss some important ...

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