Перегляд за автором "Takasaki, K."

Сортувати за: Порядок: Результатів:

  • Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff-Toda Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Recently the study of Fay-type identities revealed some new features of the DKP hierarchy (also known as ''the coupled KP hierarchy'' and ''the Pfaff lattice''). Those results are now extended to a Toda version of the DKP ...
  • Dispersionless Hirota Equations of Two-Component BKP Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dispersionless limit of this multi-component hierarchy is considered on the level of the τ-function. The so called dispersionless Hirota equations are ...
  • Hamiltonian Structure of PI Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The string equation of type (2,2g+1) may be thought of as a higher order analogue of the first Painlevé equation that corresponds to the case of g = 1. For g > 1, this equation is accompanied with a finite set of commuting ...
  • Old and New Reductions of Dispersionless Toda Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    This paper is focused on geometric aspects of two particular types of finite-variable reductions in the dispersionless Toda hierarchy. The reductions are formulated in terms of ''Landau-Ginzburg potentials'' that play the ...
  • 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 ...