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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Сортувати за: Порядок: Результатів:

  • Object-Image Correspondence for Algebraic Curves under Projections 
    Burdis, J.M.; Kogan, I.A.; Hong, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a novel algorithm for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. The motivation comes from the problem of ...
  • Old and New Reductions of Dispersionless Toda Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    This paper is focused on geometric aspects of two particular types of finite-variable reductions in the dispersionless Toda hierarchy. The reductions are formulated in terms of ''Landau-Ginzburg potentials'' that play the ...
  • On 1-Harmonic Functions 
    Wei, S.W. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1-tension field are given with applications in geometry via transformation group theory. In particular, we prove that every level hypersurface ...
  • On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra 
    Hattai, T.; Ito, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In [Kyushu J. Math. 64 (2010), 81-144], it is discussed that a certain subalgebra of the quantum affine algebra Uq(sl₂) controls the second kind TD-algebra of type I (the degenerate q-Onsager algebra). The subalgebra, which ...
  • 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 Addition Formulae for Sigma Functions of Telescopic Curves 
    Ayano, T.; Nakayashiki, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A telescopic curve is a certain algebraic curve defined by m−1 equations in the affine space of dimension m, which can be a hyperelliptic curve and an (n,s) curve as a special case. We extend the addition formulae for sigma ...
  • On Addition Formulae of KP, mKP and BKP Hierarchies 
    Shigyo, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper we study the addition formulae of the KP, the mKP and the BKP hierarchies. We prove that the total hierarchies are equivalent to the simplest equations of their addition formulae. In the case of the KP and ...
  • On a Family of 2-Variable Orthogonal Krawtchouk Polynomials 
    Grünbaum, F.A.; Rahman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We give a hypergeometric proof involving a family of 2-variable Krawtchouk polynomials that were obtained earlier by Hoare and Rahman [SIGMA 4 (2008), 089, 18 pages] as a limit of the 9−j symbols of quantum angular momentum ...
  • On Affine Fusion and the Phase Model 
    Walton, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A brief review is given of the integrable realization of affine fusion discovered recently by Korff and Stroppel. They showed that the affine fusion of the su(n) Wess-Zumino-Novikov-Witten (WZNW) conformal field theories ...
  • On Algebraically Integrable Differential Operators on an Elliptic Curve 
    Etingof, P.; Rains, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study differential operators on an elliptic curve of order higher than 2 which are algebraically integrable (i.e., finite gap). We discuss classification of such operators of order 3 with one pole, discovering exotic ...
  • On a Lie Algebraic Characterization of Vector Bundles 
    B.A. Lecomte, P.; Leuther, T.; Mushengezi, E.Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We prove that a vector bundle π: E→M is characterized by the Lie algebra generated by all differential operators on E which are eigenvectors of the Lie derivative in the direction of the Euler vector field. Our result is ...
  • 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 a nonlocal Ostrovsky–Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability 
    Golenia, J.; Pavlov, M.V.; Popowicz, Z.; Prykarpatsky, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability algorithm. The ...
  • On a Quantization of the Classical θ-Functions 
    Brezhnev, Y.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The Jacobi theta-functions admit a definition through the autonomous differential equations (dynamical system); not only through the famous Fourier theta-series. We study this system in the framework of Hamiltonian dynamics ...
  • On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Operators 
    Talati, D.; Turhan, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that a recently introduced fifth-order bi-Hamiltonian equation with a differentially constrained arbitrary function by A. de Sole, V.G. Kac and M. Wakimoto is not a new one but a higher symmetry of a third-order ...
  • On a Seminal Paper by Karlin and McGregor 
    Castro, M.M.; Grünbaum, F.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The use of spectral methods to study birth-and-death processes was pioneered by S. Karlin and J. McGregor. Their expression for the transition probabilities was made explicit by them in a few cases. Here we complete their ...
  • On Asymptotic Regimes of Orthogonal Polynomials with Complex Varying Quartic Exponential Weight 
    Bertola, M.; Tovbis, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study the asymptotics of recurrence coefficients for monic orthogonal polynomials πn(z) with the quartic exponential weight exp[−N(1/2z²+1/4tz⁴)], where t∈C and N∈N, N→∞. Our goal is to describe these asymptotic behaviors ...
  • On a Trivial Family of Noncommutative Integrable Systems 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon-Heiles, rational Calogero-Moser and Ruijsenaars-Schneider systems and apply one of these ...
  • On a Whitham-Type Equation 
    Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.

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