Наукова електронна бібліотека
періодичних видань НАН України

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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem 
    Sakhnovich, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is ...
  • Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation 
    Xue, L.L.; Liu, Q.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and ...
  • Bäcklund Transformation for the BC-Type Toda Lattice 
    Kuznetsov, V.; Sklyanin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its basic properties: canonicity, commutativity ...
  • Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart 
    Carillo, S.; Lo Schiavo, M.; Schiebold, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Classes of third order non-Abelian evolution equations linked to that of Korteweg-de Vries-type are investigated and their connections represented in a non-commutative Bäcklund chart, generalizing results in [Fuchssteiner ...
  • Bäcklund Transformations for First and Second Painlevé Hierarchies 
    Sakka, A.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the ...
  • Bäcklund Transformations for the Kirchhoff Top 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We construct Bäcklund transformations (BTs) for the Kirchhoff top by taking advantage of the common algebraic Poisson structure between this system and the sl(2) trigonometric Gaudin model. Our BTs are integrable maps ...
  • Bäcklund Transformations for the Trigonometric Gaudin Magnet 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We construct a Bäcklund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of variables because of ...
  • Baker-Akhiezer Modules on Rational Varieties 
    Melnik, I.A.; Mironov, A.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The free Baker-Akhiezer modules on rational varieties obtained from CP¹×CPⁿ⁻¹ by identification of two hypersurfaces are constructed. The corollary of this construction is the existence of embedding of meromorphic function ...
  • Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball 
    Berceanu, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We determine the matrix of the balanced metric of the Siegel-Jacobi ball and its inverse. We calculate the scalar curvature, the Ricci form and the Laplace-Beltrami operator of this manifold. We discuss several geometric ...
  • Balanced Metrics and Noncommutative Kähler Geometry 
    Lukic, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions C∞(M) on a Kähler manifold M. In this setup one interprets M as the phase space itself, equipped with ...
  • Balance Systems and the Variational Bicomplex 
    Preston, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this work we show that the systems of balance equations (balance systems) of continuum thermodynamics occupy a natural place in the variational bicomplex formalism. We apply the vertical homotopy decomposition to get a ...
  • Basic Forms and Orbit Spaces: a Diffeological Approach 
    Karshon, Y.; Watts, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    If a Lie group acts on a manifold freely and properly, pulling back by the quotient map gives an isomorphism between the differential forms on the quotient manifold and the basic differential forms upstairs. We show that ...
  • Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions 
    van de Bult, F.J.; Rains, E.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a different basic hypergeometric function ...
  • Beables/Observables in Classical and Quantum Gravity 
    Anderson, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Observables 'are observed' whereas beables just 'are'. This gives beables more scope in the cosmological and quantum domains. Both observables and beables are entities that form 'brackets' with 'the constraints' that are ...
  • Besov-Type Spaces on Rd and Integrability for the Dunkl Transform 
    Abdelkefi, C.; Sassi, F.; Sifi, M.; Anker, Jean-Philippe (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces ...
  • Bethe Ansatz for the Ruijsenaars Model of BC₁-Type 
    Chalykh, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider one-dimensional elliptic Ruijsenaars model of type BC₁. It is given by a three-term difference Schrödinger operator L containing 8 coupling constants. We show that when all coupling constants are integers, L ...
  • Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for An⁽¹⁾ 
    Kuniba, A.; Takagi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study an integrable vertex model with a periodic boundary condition associated with Uq(An⁽¹⁾ at the crystallizing point q=0. It is an (n+1)-state cellular automaton describing the factorized scattering of solitons. The ...
  • Bethe ansatz solutions of the Bose-Hubbard dimer 
    Links, J.; Hibberd, K.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The Bose-Hubbard dimer Hamiltonian is a simple yet effective model for describing tunneling phenomena of Bose-Einstein condensates. One of the significant mathematical properties of the model is that it can be exactly ...
  • Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations 
    Sasaki, Ryu; Yang, Wen-Li; Zhang, Yao-Zhong (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Bethe ansatz formulation is presented for several explicit examples of quasi exactly solvable difference equations of one degree of freedom which are introduced recently by one of the present authors. These equations are ...
  • Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry 
    Fuksa, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис