Zobrazeno 1 - 10
of 112
pro vyhledávání: '"Kanehisa Takasaki"'
Autor:
Kanehisa Takasaki
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 8, p 102 (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 role of reduced Lax function
Externí odkaz:
https://doaj.org/article/dbeff1e3ea364d3d9418573adfbba281
Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff-Toda Hierarchy
Autor:
Kanehisa Takasaki
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 109 (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 hierarchy (tentatively calle
Externí odkaz:
https://doaj.org/article/246d8f55fa33441c83af775f7591a669
Autor:
Kanehisa Takasaki
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 042 (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 isomonodromic deformations
Externí odkaz:
https://doaj.org/article/4bf234aa72ff4bd1a8121f71fe3560cf
Autor:
Kanehisa Takasaki
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 2, p 057 (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 obtained from the Hirota equ
Externí odkaz:
https://doaj.org/article/461b9478ec3645028cdee8eff6c52638
Autor:
Kanehisa Takasaki
The intermediate long wave (ILW) hierarchy and its generalization, labelled by a positive integer $N$, can be formulated as reductions of the lattice KP hierarchy. The integrability of the lattice KP hierarchy is inherited by these reduced systems. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::016924e887e20333797823c352e0ffe3
http://arxiv.org/abs/2211.11353
http://arxiv.org/abs/2211.11353
Autor:
Kanehisa Takasaki
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 55:305203
The lattice Gelfand-Dickey hierarchy is a lattice version of the Gelfand-Dickey hierarchy. A special case is the lattice KdV hierarchy. Inspired by recent work of Buryak and Rossi, we propose an extension of the lattice Gelfand-Dickey hierarchy. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::458081af730a18aed978ba14fcf01e0f
https://doi.org/10.1088/1751-8121/ac7ca2
https://doi.org/10.1088/1751-8121/ac7ca2
Autor:
Kanehisa Takasaki
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 54:35LT02
Okounkov and Pandharipande proved that the equivariant Toda hierarchy governs the equivariant Gromov–Witten theory of C P 1 . A technical clue of their method is a pair of dressing operators on the Fock space of 2D charged free fermion fields. We r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9bccf4ab8c8e842799a236263e722045
https://doi.org/10.1088/1751-8121/ac1828
https://doi.org/10.1088/1751-8121/ac1828
Autor:
Kanehisa Takasaki
A tau function of the 2D Toda hierarchy can be obtained from a generating function of the two-partition cubic Hodge integrals. The associated Lax operators turn out to satisfy an algebraic relation. This algebraic relation can be used to identify a r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a352d9f12ea64dd1b9a34dbed5dbe051
http://arxiv.org/abs/1909.13095
http://arxiv.org/abs/1909.13095
Autor:
Kanehisa Takasaki, Toshio Nakatsu
A conjecture on the relation between the cubic Hodge integrals and the topological vertex in topological string theory is resolved. A central role is played by the notion of generalized shift symmetries in a fermionic realization of the two-dimension
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::183588e10eb6b237d401359fac7e2aa1
http://arxiv.org/abs/1812.11726
http://arxiv.org/abs/1812.11726
Autor:
Kimio Ueno, Kanehisa Takasaki
Publikováno v:
Group Representations and Systems of Differential Equations, K. Okamoto, ed. (Tokyo: Mathematical Society of Japan, 1984)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35170dd6786a9973ce23b9136a66e828
https://doi.org/10.2969/aspm/00410001
https://doi.org/10.2969/aspm/00410001