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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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  • 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 ...
  • Positive Definite Functions on Complex Spheres and their Walks through Dimensions 
    Massa, E.; Peron, A.P.; Porcu, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We provide walks through dimensions for isotropic positive definite functions defined over complex spheres. We show that the analogues of Montée and Descente operators as proposed by Beatson and zu Castell [J. Approx. ...
  • q -Difference Kac-Schwarz Operators in Topological String Theory 
    Takasaki, K.; Nakatsu, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The perspective of Kac-Schwarz operators is introduced to the authors' previous work on the quantum mirror curves of topological string theory in strip geometry and closed topological vertex. Open string amplitudes on each ...
  • Rational Solutions of the Painlevé-II Equation Revisited 
    Miller, P.D.; Sheng, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The rational solutions of the Painlevé-II equation appear in several applications and are known to have many remarkable algebraic and analytic properties. They also have several different representations, useful in different ...
  • Rational Solutions to the ABS List: Transformation Approach 
    Zhang, D.; Zhang, D.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(δ), H3(δ), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklund transformations between these lattice ...
  • Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space 
    Zhang, J.; Hu, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We realize the Hopf algebra Uq(sp₂n) as an algebra of quantum differential operators on the quantum symplectic space X(fs;R) and prove that X(fs;R) is a Uq(sp₂n)-module algebra whose irreducible summands are just its ...
  • Relativistic DNLS and Kaup-Newell Hierarchy 
    Pashaev, O.K.; Lee, J.-H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    By the recursion operator of the Kaup-Newell hierarchy we construct the relativistic derivative NLS (RDNLS) equation and the corresponding Lax pair. In the nonrelativistic limit c→∞ it reduces to DNLS equation and preserves ...

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