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

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

Сортувати за: Порядок: Результатів:

  • Orthogonality within the families of C-, S-, and E-functions of any compact semisimple Lie group 
    Moody, R.V.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper is about methods of discrete Fourier analysis in the context of Weyl group symmetry. Three families of class functions are defined on the maximal torus of each compact simply connected semisimple Lie group G. ...
  • On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation 
    Aratyn, H.; Gomes, J.F.; Zimerman, A.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions ...
  • 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 ...
  • Painlevé Analysis and Similarity Reductions for the Magma Equation 
    Harris, S.E.; Clarkson, P.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this paper, we examine a generalized magma equation for rational values of two parameters, m and n. Firstly, the similarity reductions are found using the Lie group method of infinitesimal transformations. The Painlevé ...
  • The Relation Between the Associate Almost Complex Structure to HM' and (HM',S,T)-Cartan Connections 
    Esrafilian, E.; Salimi Moghaddam, R.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In the present paper, the (HM',S,T)-Cartan connections on pseudo-Finsler manifolds, introduced by A. Bejancu and H.R. Farran, are obtained by the natural almost complex structure arising from the nonlinear connection HM'. ...
  • Quantum Entanglement and Projective Ring Geometry 
    Planat, M.; Saniga, M.; Kibler, M.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper explores the basic geometrical properties of the observables characterizing two-qubit systems by employing a novel projective ring geometric approach. After introducing the basic facts about quantum complementarity ...
  • On the Linearization of Second-Order Differential and Difference Equations 
    Dorodnitsyn, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    This article complements recent results of the papers [J. Math. Phys. 41 (2000), 480; 45 (2004), 336] on the symmetry classification of second-order ordinary difference equations and meshes, as well as the Lagrangian ...
  • On a 'Mysterious' Case of a Quadratic Hamiltonian 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We show that one of the five cases of a quadratic Hamiltonian, which were recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test, fails to pass the Painlevé test for integrability.
  • The Painlevé Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients 
    Kobayashi, T.; Toda, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The general KdV equation (gKdV) derived by T. Chou is one of the famous (1 + 1) dimensional soliton equations with variable coefficients. It is well-known that the gKdV equation is integrable. In this paper a higher-dimensional ...
  • Quantum Potential and Symmetries in Extended Phase Space 
    Nasiri, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The behavior of the quantum potential is studied for a particle in a linear and a harmonic potential by means of an extended phase space technique. This is done by obtaining an expression for the quantum potential in ...
  • Prolongation Loop Algebras for a Solitonic System of Equations 
    Agrotis, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We consider an integrable system of reduced Maxwell-Bloch equations that describes the evolution of an electromagnetic field in a two-level medium that is inhomogeneously broadened. We prove that the relevant Bäcklund ...
  • 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 ...
  • Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials 
    Enciso, A.; Finkel, F.; González-López, A.; Rodríguez, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial ...
  • 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 ...
  • 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 ...
  • 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 ...
  • q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy 
    He, Jingsong; Li, Yinghua; Cheng, Yi (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Using the determinant representation of gauge transformation operator, we have shown that the general form of τ function of the q-KP hierarchy is a q-deformed generalized Wronskian, which includes the q-deformed Wronskian ...
  • 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 ...
  • A Dual Mesh Method for a Non-Local Thermistor Problem 
    Abderrahmane El Hachimi; Moulay Rchid Sidi Ammi; Delfim F.M. Torres (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We use a dual mesh numerical method to study a non-local parabolic problem arising from the well-known thermistor problem.
  • 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 ...

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