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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік за назвою

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  • Lagrangian Mechanics and Reduction on Fibered Manifolds 
    Li, S.; Stern, A.; Tang, X. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This paper develops a generalized formulation of Lagrangian mechanics on fibered manifolds, together with a reduction theory for symmetries corresponding to Lie groupoid actions. As special cases, this theory includes not ...
  • Liouville Correspondences between Integrable Hierarchies 
    Kang, J.; Liu, X.; Olver, P.J.; Qu, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper, we study explicit correspondences between the integrable Novikov and Sawada-Kotera hierarchies, and between the Degasperis-Procesi and Kaup-Kupershmidt hierarchies. We show how a pair of Liouville transformations ...
  • Local Generalized Symmetries and Locally Symmetric Parabolic Geometries 
    Gregorovič, J.; Zalabová, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We investigate (local) automorphisms of parabolic geometries that generalize geodesic symmetries. We show that many types of parabolic geometries admit at most one generalized geodesic symmetry at a point with non-zero ...
  • Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential 
    Belokolos, E.D. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We prove that a neutral atom in mean-field approximation has O(4) symmetry and this fact explains the empirical [n+l,n]-rule or Madelung rule which describes effectively periods, structure and other properties of the ...
  • Minuscule Schubert Varieties and Mirror Symmetry 
    Miura, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We consider smooth complete intersection Calabi-Yau 3-folds in minuscule Schubert varieties, and study their mirror symmetry by degenerating the ambient Schubert varieties to Hibi toric varieties. We list all possible ...
  • Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation 
    Chiba, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A multi-Poisson structure on a Lie algebra g provides a systematic way to construct completely integrable Hamiltonian systems on g expressed in Lax form ∂Xλ/∂t=[Xλ,Aλ] in the sense of the isospectral deformation, where ...
  • N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation 
    Feng, B.-F.; Ohta, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method. One- and two-bright-dark soliton solutions are ...
  • Non-Commutative Vector Bundles for Non-Unital Algebras 
    Rennie, A.; Sims, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We revisit the characterisation of modules over non-unital C∗-algebras analogous to modules of sections of vector bundles. A fullness condition on the associated multiplier module characterises a class of modules which ...
  • Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians 
    Marciniak, K.; Błaszak, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper we present a novel construction of non-homogeneous hydrodynamic equations from what we call quasi-Stäckel systems, that is non-commutatively integrable systems constructed from appropriate maximally superintegrable ...
  • Null Angular Momentum and Weak KAM Solutions of the Newtonian N-Body Problem 
    Percino-Figueroa, B.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In [Arch. Ration. Mech. Anal. 213 (2014), 981-991] it has been proved that in the Newtonian N-body problem, given a minimal central configuration a and an arbitrary configuration x, there exists a completely parabolic orbit ...
  • On Reductions of the Hirota-Miwa Equation 
    Hone, A.N.W.; Kouloukas, T.E.; Ward, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The Hirota-Miwa equation (also known as the discrete KP equation, or the octahedron recurrence) is a bilinear partial difference equation in three independent variables. It is integrable in the sense that it arises as the ...
  • On the Automorphisms of a Rank One Deligne-Hitchin Moduli Space 
    Biswas, I.; Heller, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Let X be a compact connected Riemann surface of genus g≥2, and let MDH be the rank one Deligne-Hitchin moduli space associated to X. It is known that MDH is the twistor space for the hyper-Kähler structure on the moduli ...
  • On the Equivalence of Module Categories over a Group-Theoretical Fusion Category 
    Natale, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category C to be equivalent. This concludes the classification of such ...
  • On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids 
    Raźny, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In the following paper we investigate the question: when is a transitive topological groupoid continuously isomorphic to a Lie groupoid? We present many results on the matter which may be considered generalizations of the ...
  • On the Spectra of Real and Complex Lamé Operators 
    Haese-Hill, W.A.; Hallnäs, M.A.; Veselov, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study Lamé operators of the form L=−d²/dx²+m(m+1)ω²℘(ωx+z₀), with m∈N and ω a half-period of ℘(z). For rectangular period lattices, we can choose ω and z0 such that the potential is real, periodic and regular. It ...
  • On Toric Poisson Structures of Type (1,1) and their Cohomology 
    Caine, A.; Givens, B.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We classify real Poisson structures on complex toric manifolds of type (1,1) and initiate an investigation of their Poisson cohomology. For smooth toric varieties, such structures are necessarily algebraic and are homogeneous ...
  • Orbital Linearization of Smooth Completely Integrable Vector Fields 
    Zung, N.T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The main purpose of this paper is to prove the smooth local orbital linearization theorem for smooth vector fields which admit a complete set of first integrals near a nondegenerate singular point. The main tools used in ...
  • Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle 
    Bultheel, A.; Cruz-Barroso, R.; Lasarow, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Orthogonal rational functions (ORF) on the unit circle generalize orthogonal polynomials (poles at infinity) and Laurent polynomials (poles at zero and infinity). In this paper we investigate the properties of and the ...
  • Parallelisms & Lie Connections 
    Blázquez-Sanz, D.; Casale, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The aim of this article is to study rational parallelisms of algebraic varieties by means of the transcendence of their symmetries. The nature of this transcendence is measured by a Galois group built from the Picard-Vessiot ...
  • Part III, Free Actions of Compact Quantum Groups on C*-Algebras 
    Schwieger, K.; Wagner, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study and classify free actions of compact quantum groups on unital C∗-algebras in terms of generalized factor systems. Moreover, we use these factor systems to show that all finite coverings of irrational rotation ...

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