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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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • Remarks on Contact and Jacobi Geometry 
    Bruce, A.J.; Grabowska, K.; Grabowski, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We present an approach to Jacobi and contact geometry that makes many facts, presented in the literature in an overcomplicated way, much more natural and clear. The key concepts are Kirillov manifolds and linear Kirillov ...
  • Restriction of Odd Degree Characters of Sn 
    Bessenrodt, C.; Giannelli, E.; Olsson, J.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study the restriction of odd-degree irreducible characters of the symmetric group Sn.
  • Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds 
    Garcia-Pulido, A.L.; Herrera, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We prove the rigidity and vanishing of several indices of ''geometrically natural'' twisted Dirac operators on almost even-Clifford Hermitian manifolds admitting circle actions by automorphisms.
  • Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice 
    Fordy, A.P.; Xenitidis, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We recently introduced a class of ZN graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called ''self-dual''. In this ...
  • Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials 
    Odake, S.; Sasaki, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. They satisfy second-order differential equations but not three term recurrence relations, because of the 'holes' in their ...
  • Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II 
    Deift, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We describe a list of open problems in random matrix theory and the theory of integrable systems that was presented at the conference Asymptotics in Integrable Systems, Random Matrices and Random Processes and Universality, ...
  • Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure 
    Raasakka, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background geometric structure is required. Such a ...
  • Symmetries of the Hirota Difference Equation 
    Pogrebkov, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent variables of the equation ...
  • Symmetries of the Space of Linear Symplectic Connections 
    Fox, D.J.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    There is constructed a family of Lie algebras that act in a Hamiltonian way on the symplectic affine space of linear symplectic connections on a symplectic manifold. The associated equivariant moment map is a formal sum ...
  • The Chazy XII Equation and Schwarz Triangle Functions 
    Bihun, O.; Chakravarty, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Dubrovin [Lecture Notes in Math., Vol. 1620, Springer, Berlin, 1996, 120-348] showed that the Chazy XII equation y′′′−2yy′′+3y′²=K(6y′−y²)², K∈C, is equivalent to a projective-invariant equation for an affine connection ...
  • The Fock-Rosly Poisson Structure as Defined by a Quasi-Triangular r-Matrix 
    Mouquin, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We reformulate the Poisson structure discovered by Fock and Rosly on moduli spaces of flat connections over marked surfaces in the framework of Poisson structures defined by Lie algebra actions and quasitriangular r-matrices, ...
  • The Geometry of Almost Einstein (2,3,5) Distributions 
    Sagerschnig, K.; Willse, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We analyze the classic problem of existence of Einstein metrics in a given conformal structure for the class of conformal structures inducedf Nurowski's construction by (oriented) (2,3,5) distributions. We characterize in ...
  • The Inverse Spectral Problem for Jacobi-Type Pencils 
    Zagorodnyuk, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper we study the inverse spectral problem for Jacobi-type pencils. By a Jacobi-type pencil we mean the following pencil J₅−λJ₃, where J₃ is a Jacobi matrix and J₅ is a semi-infinite real symmetric five-diagonal ...
  • The Malgrange Form and Fredholm Determinants 
    Bertola, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We consider the factorization problem of matrix symbols relative to a closed contour, i.e., a Riemann-Hilbert problem, where the symbol depends analytically on parameters. We show how to define a function τ which is locally ...
  • The Moments of the Hydrogen Atom by the Method of Brackets 
    Gonzalez, I.; Kohl, K.T.; Kondrashuk, I.; Moll, V.H.; Salinas, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Expectation values of powers of the radial coordinate in arbitrary hydrogen states are given, in the quantum case, by an integral involving the associated Laguerre function. The method of brackets is used to evaluate the ...
  • The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs 
    Güneysu, B.; Pflaum, M.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper, we study the formal solution space of a nonlinear PDE in a fiber bundle. To this end, we start with foundational material and introduce the notion of a pfd structure to build up a new concept of profinite ...

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