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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік за назвою

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  • A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction 
    An, H.; Rogers, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A 2+1-dimensional anisentropic magnetogasdynamic system with a polytropic gas law is shown to admit an integrable elliptic vortex reduction when γ=2 to a nonlinear dynamical subsystem with underlying integrable Hamiltonian-Ermakov ...
  • Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time 
    Garifullin, R.; Habibullin, I.; Yangubaeva, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras AN, BN, CN, G₂, D₃, A₁⁽¹⁾, A₂⁽²⁾, DN⁽²⁾ these systems are proved to be ...
  • A New Class of Solvable Many-Body Problems 
    Calogero, F.; Yi, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A new class of solvable N-body problems is identified. They describe N unit-mass point particles whose time-evolution, generally taking place in the complex plane, is characterized by Newtonian equations of motion ''of ...
  • A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers 
    Llibre, J.; Peralta-Salas, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We prove a sufficient condition for the existence of explicit first integrals for vector fields which admit an integrating factor. This theorem recovers and extends previous results in the literature on the integrability ...
  • Another New Solvable Many-Body Model of Goldfish Type 
    Calogero, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A new solvable many-body problem is identified. It is characterized by nonlinear Newtonian equations of motion (''acceleration equal force'') featuring one-body and two-body velocity-dependent forces ''of goldfish type'' ...
  • Application of the B-Determining Equations Method to One Problem of Free Turbulence 
    Kaptsov, O.V.; Schmidt, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A three-dimensional model of the far turbulent wake behind a self-propelled body in a passively stratified medium is considered. The model is reduced to a system of ordinary differential equations by a similarity reduction ...
  • A Top-Down Account of Linear Canonical Transforms 
    Wolf, K.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We contend that what are called Linear Canonical Transforms (LCTs) should be seen as a part of the theory of unitary irreducible representations of the '2+1' Lorentz group. The integral kernel representation found by ...
  • A Two-Component Generalization of the Integrable rdDym Equation 
    Morozov, O.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We find a two-component generalization of the integrable case of rdDym equation. The reductions of this system include the general rdDym equation, the Boyer-Finley equation, and the deformed Boyer-Finley equation. Also we ...
  • Bring's Curve: its Period Matrix and the Vector of Riemann Constants 
    Braden, H.W.; Northover, T.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Bring's curve is the genus 4 Riemann surface with automorphism group of maximal size, S₅. Riera and Rodríguez have provided the most detailed study of the curve thus far via a hyperbolic model. We will recover and extend ...
  • Building Abelian Functions with Generalised Baker-Hirota Operators 
    England, M.; Athorne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear operator defined in the work of Baker and ...
  • CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae 
    van de Leur, J. W.; Orlov, A.Y.; Shiota, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. ...
  • Classification of Non-Affine Non-Hecke Dynamical R-Matrices 
    Avan, J.; Billaud, B.; Rollet, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A complete classification of non-affine dynamical quantum R-matrices obeying the Gln(C)-Gervais-Neveu-Felder equation is obtained without assuming either Hecke or weak Hecke conditions. More general dynamical dependences ...
  • Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions 
    Neira Jimenez, Carolina; Ouedraogo, Marie-Françoise (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order ...
  • Coherent States for Tremblay-Turbiner-Winternitz Potential 
    Sucu, Y.; Unal, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this study, we construct the coherent states for a particle in the Tremblay-Turbiner-Winternitz potential by finding the conserved charge coherent states of the four harmonic oscillators in the polar coordinates. We ...
  • Colored Tensor Models - a Review 
    Gurau, R.; Ryan, J.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Colored tensor models have recently burst onto the scene as a promising conceptual and computational tool in the investigation of problems of random geometry in dimension three and higher. We present a snapshot of the ...
  • Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2 
    Zuo, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper, we construct some examples of commuting differential operators L₁ and L₂ with rational coefficients of rank 3 corresponding to a curve of genus 2.
  • Complex SUSY Transformations and the Painlevé IV Equation 
    Bermúdez, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper we will explicitly work out the complex first-order SUSY transformation for the harmonic oscillator in order to obtain both real and complex new exactly-solvable potentials. Furthermore, we will show that ...
  • Conformally Equivariant Quantization - a Complete Classification 
    Michel, Jean-Philippe (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Conformally equivariant quantization is a peculiar map between symbols of real weight δ and differential operators acting on tensor densities, whose real weights are designed by λ and λ+δ. The existence and uniqueness of ...
  • Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity 
    Senashov, S.I.; Yakhno, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    For the hyperbolic system of quasilinear first-order partial differential equations, linearizable by hodograph transformation, the conservation laws are used to solve the Cauchy problem. The equivalence of the initial ...
  • Construction of a Lax Pair for the E₆⁽¹⁾ q-Painlevé System 
    Witte, N.S.; Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We construct a Lax pair for the E₆⁽¹⁾ q-Painlevé system from first principles by employing the general theory of semi-classical orthogonal polynomial systems characterised by divided-difference operators on discrete, ...

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