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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

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  • Two-Dimensional Toda-Heisenberg Lattice 
    Vekslerchik, V.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this ...
  • Ultradiscrete Painlevé VI with Parity Variables 
    Takemura, K.; Tsutsui, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce a ultradiscretization with parity variables of the q-difference Painlevé VI system of equations. We show that ultradiscrete limit of Riccati-type solutions of q-Painlevé VI satisfies the ultradiscrete Painlevé ...
  • Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations 
    Kondo, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete ...
  • Upper Bounds for Mutations of Potentials 
    Cruz Morales, J.A.; Galkin, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this note we provide a new, algebraic proof of the excessive Laurent phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A., Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue ...
  • Vector-Valued Polynomials and a Matrix Weight Function with B₂-Action 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
  • Vector-Valued Polynomials and a Matrix Weight Function with B₂-Action. II 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    This is a sequel to [SIGMA 9 (2013), 007, 23 pages], in which there is a construction of a 2×2 positive-definite matrix function K(x) on R². The entries of K(x) are expressed in terms of hypergeometric functions. This ...

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