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

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

Сортувати за: Порядок: Результатів:

  • On Action Invariance under Linear Spinor-Vector Supersymmetry 
    Shima, K.; Tsuda, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We show explicitly that a free Lagrangian expressed in terms of scalar, spinor, vector and Rarita-Schwinger (RS) fields is invariant under linear supersymmetry transformations generated by a global spinor-vector parameter. ...
  • 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.
  • 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 ...
  • On Classical r-Matrix for the Kowalevski Gyrostat on so(4) 
    Komarov, I.V.; Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We present the trigonometric Lax matrix and classical r-matrix for the Kowalevski gyrostat on so(4) algebra by using the auxiliary matrix algebras so(3,2) or sp(4).
  • On Deformations and Contractions of Lie Algebras 
    Fialowski, A.; Marc de Montigny (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this contributed presentation, we discuss and compare the mutually opposite procedures of deformations and contractions of Lie algebras. We suggest that with appropriate combinations of both procedures one may construct ...
  • On Linearizing Systems of Diffusion Equations 
    Sophocleous, C.; Wiltshire, R.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We consider systems of diffusion equations that have considerable interest in Soil Science and Mathematical Biology and focus upon the problem of finding those forms of this class that can be linearized. In particular we ...
  • On One Approach to Investigation of Mechanical System 
    Irtegov, V.D.; Titorenko, T.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper presents some results of qualitative analysis of Kirchhoff's differential equations describing motion of a rigid body in ideal fluid in Sokolov's case. The research methods are based on Lyapunov's classical ...
  • On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials 
    Groza, V.A.; Kachuryk, I.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The dual discrete q-ultraspherical polynomials Dn(s)(μ(x;s)|q) correspond to indeterminate moment problem and, therefore, have one-parameter family of extremal orthogonality relations. It is shown that special cases of ...
  • On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System 
    Ryabukha, T.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We construct a regularized cumulant (semi-invariant) representation of a solution of the initial value problem for the BBGKY hierarchy for a one-dimensional infinite system of hard spheres interacting via a short-range ...
  • On the Darboux-Nijenhuis variables for the open Toda lattice 
    Grigoryev, Y.A.; Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We discuss two known constructions proposed by Moser and by Sklyanin of the Darboux-Nijenhuis coordinates for the open Toda lattice.
  • On the Degenerate Multiplicity of the sl₂ Loop Algebra for the 6V Transfer Matrix at Roots of Unity 
    Deguchi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review the main result of cond-mat/0503564. The Hamiltonian of the XXZ spin chain and the transfer matrix of the six-vertex model has the sl₂ loop algebra symmetry if the q parameter is given by a root of unity, q₀2N = ...
  • On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory 
    Cvetic, G.; Kondrashuk, I.; Schmidt, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    On the basis of the general considerations such as R-operation and Slavnov-Taylor identity we show that the effective action, being understood as Legendre transform of the logarithm of the path integral, possesses particular ...
  • On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account 
    Zhislin, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this paper we formulate our results on the essential spectrum of many-particle pseudorelativistic Hamiltonians without magnetic and external potential fields in the spaces of functions, having arbitrary type α of the ...
  • On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles 
    Popova, N.D.; Samoilenko, Y.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    For a class of *-algebras, where *-algebra AΓ,τ is generated by projections associated with vertices of graph Γ and depends on a parameter τ (0 < τ ≤ 1), we study the sets ΣΓ of values of τ such that the algebras AΓ,τ have ...
  • On the Gaussian Random Matrix Ensembles with Additional Symmetry Conditions 
    Vasilchuk, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The Gaussian unitary random matrix ensembles satisfying some additional symmetry conditions are considered. The effect of these conditions on the limiting normalized counting measures and correlation functions is studied.
  • On the Generalized Maxwell-Bloch Equations 
    Saksida, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A new Hamiltonian structure of the Maxwell-Bloch equations is described. In this setting the Maxwell-Bloch equations appear as a member of a family of generalized Maxwell-Bloch systems. The family is parameterized by compact ...
  • 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 the one class of hyperbolic systems 
    Adler, V.E.; Shabat, A.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The classification problem is solved for some type of nonlinear lattices. These lattices are closely related to the lattices of Ruijsenaars-Toda type and define the Bäcklund auto-transformations for the class of two-component ...
  • On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations 
    Güngör, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We discuss Lie algebras of the Lie symmetry groups of two generically non-integrable equations in one temporal and two space dimensions arising in different contexts. The first is a generalization of the KP equation and ...
  • On Transitive Systems of Subspaces in a Hilbert Space 
    Moskaleva, Y.P.; Samoilenko, Y.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Methods of *-representations in Hilbert space are applied to study of systems of n subspaces in a linear space. It is proved that the problem of description of n-transitive subspaces in a finite-dimensional linear space ...

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