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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Integrability of Discrete Equations Modulo a Prime 
    Kanki, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We apply the ''almost good reduction'' (AGR) criterion, which has been introduced in our previous works, to several classes of discrete integrable equations. We verify our conjecture that AGR plays the same role for maps ...
  • Integrable Flows for Starlike Curves in Centroaffine Space 
    Calini, A.; Ivey, T.; Beffa, G.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We construct integrable hierarchies of flows for curves in centroaffine R³ through a natural pre-symplectic structure on the space of closed unparametrized starlike curves. We show that the induced evolution equations for ...
  • Integrable Hierarchy of the Quantum Benjamin-Ono Equation 
    Nazarov, M.; Sklyanin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A hierarchy of pairwise commuting Hamiltonians for the quantum periodic Benjamin-Ono equation is constructed by using the Lax matrix. The eigenvectors of these Hamiltonians are Jack symmetric functions of infinitely many ...
  • Invariant Discretization Schemes Using Evolution-Projection Techniques 
    Bihlo, A.; Nave, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Finite difference discretization schemes preserving a subgroup of the maximal Lie invariance group of the one-dimensional linear heat equation are determined. These invariant schemes are constructed using the invariantization ...
  • Invertible Darboux Transformations 
    Shemyakova, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    For operators of many different kinds it has been proved that (generalized) Darboux transformations can be built using so called Wronskian formulae. Such Darboux transformations are not invertible in the sense that the ...
  • Leibniz Algebras and Lie Algebras 
    Mason, G.; Yamskulna, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative ...
  • Levi-Civita's Theorem for Noncommutative Tori 
    Rosenberg, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show how to define Riemannian metrics and connections on a noncommutative torus in such a way that an analogue of Levi-Civita's theorem on the existence and uniqueness of a Riemannian connection holds. The major novelty ...
  • Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models 
    Bojowald, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The mathematical structure of homogeneous loop quantum cosmology is analyzed, starting with and taking into account the general classification of homogeneous connections not restricted to be Abelian. As a first consequence, ...
  • Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries 
    Qu, C.; Song, J.; Yao, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper, multi-component generalizations to the Camassa-Holm equation, the modified Camassa-Holm equation with cubic nonlinearity are introduced. Geometric formulations to the dual version of the Schrödinger equation, ...
  • 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 ...
  • 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 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 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 Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces 
    Cheh, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show how to find a complete set of necessary and sufficient conditions that solve the fixed-parameter local congruence problem of immersions in G-spaces, whether homogeneous or not, provided that a certain kth order jet ...
  • On Orbifold Criteria for Symplectic Toric Quotients 
    Farsi, C.; Seaton, C.; Herbig, H.-C (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce the notion of regular symplectomorphism and graded regular symplectomorphism between singular phase spaces. Our main concern is to exhibit examples of unitary torus representations whose symplectic quotients ...
  • On the Linearization of Second-Order Ordinary Differential Equations to the Laguerre Form via Generalized Sundman Transformations 
    Mustafa, M.T.; Al-Dweik, A.Y.; Mara'beh, R.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The linearization problem for nonlinear second-order ODEs to the Laguerre form by means of generalized Sundman transformations (S-transformations) is considered, which has been investigated by Duarte et al. earlier. A ...
  • On the n-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group 
    Franco, J.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    By restricting to a special class of smooth functions, the local action of the symmetry group is globalized. This special class of functions is constructed using parabolic induction.
  • On the N-Solitons Solutions in the Novikov-Veselov Equation 
    Chang, J.-H. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We construct the N-solitons solution in the Novikov-Veselov equation from the extended Moutard transformation and the Pfaffian structure. Also, the corresponding wave functions are obtained explicitly. As a result, the ...
  • Parameterizing the Simplest Grassmann-Gaussian Relations for Pachner Move 3-3 
    Korepanov, I.G.; Sadykov, N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider relations in Grassmann algebra corresponding to the four-dimensional Pachner move 3-3, assuming that there is just one Grassmann variable on each 3-face, and a 4-simplex weight is a Grassmann-Gaussian exponent ...

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