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pro vyhledávání: '"Wu, Chao-Zhong"'
By using pseudo-differential operators containing two derivations, we extend the Kadomtsev-Petviashvili (KP) hierarchy to a certain KP-mKP hierarchy. For the KP-mKP hierarchy, we obtain its B\"{a}cklund transformations, bilinear equations of Baker-Ak
Externí odkaz:
http://arxiv.org/abs/2311.07341
We construct a class of infinite-dimensional Frobenius manifolds on the spaces of pairs of meromorphic functions with a pole at infinity and a movable pole. Such Frobenius manifolds are shown to be underlying the universal Whitham hierarchy, which is
Externí odkaz:
http://arxiv.org/abs/2005.05204
Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy
Autor:
Lu, Jiaping, Wu, Chao-Zhong
An extension of the Kadomtsev-Petviashvili (KP) hierarchy defined via scalar pseudo-differential operators was studied in [16, 20]. In this paper, we represent the extended KP hierarchy into the form of bilinear equation of (adjoint) Baker-Akhiezer f
Externí odkaz:
http://arxiv.org/abs/1911.12727
We construct a tau cover of the generalized Drinfeld-Sokolov hierarchy associated to an arbitrary affine Kac-Moody algebra with gradations $\mathrm{s}\le\mathds{1}$ and derive its Virasoro symmetries. By imposing the Virasoro constraints we obtain so
Externí odkaz:
http://arxiv.org/abs/1908.06707
Publikováno v:
In Physica D: Nonlinear Phenomena July 2023 449
Publikováno v:
C.M.P. (2019)
For a diagram automorphism of an affine Kac-Moody algebra such that the folded diagram is still an affine Dynkin diagram, we show that the associated Drinfeld-Sokolov hierarchy also admits an induced automorphism. Then we show how to obtain the Drinf
Externí odkaz:
http://arxiv.org/abs/1811.10137
Publikováno v:
In Journal of Geometry and Physics March 2021 161
Autor:
Cafasso, Mattia, Wu, Chao-Zhong
Publikováno v:
Lett Math Phys (2019) 109: 2681. https://doi.org/10.1007/s11005-019-01205-8
We give a general method to compute the expansion of topological tau functions for Drinfeld-Sokolov hierarchies associated to an arbitrary untwisted affine Kac-Moody algebra. Our method consists of two main steps: first these tau functions are expres
Externí odkaz:
http://arxiv.org/abs/1505.00556
Autor:
Wu, Chao-Zhong, Zhou, Xu
In this note we consider a two-component extension of the Kadomtsev-Petviashvili (KP) hierarchy represented with two types of pseudo-differential operators, and construct its Hamiltonian structures by using the $R$-matrix formalism.
Comment: 21
Comment: 21
Externí odkaz:
http://arxiv.org/abs/1502.04787
Autor:
Cafasso, Mattia, Wu, Chao-Zhong
Publikováno v:
Int Math Res Notices (2015) 2015 (20): 10339-10366
A classical way to introduce tau functions for integrable hierarchies of solitonic equations is by means of the Sato-Segal-Wilson infinite-dimensional Grassmannian. Every point in the Grassmannian is naturally related to a Riemann-Hilbert problem on
Externí odkaz:
http://arxiv.org/abs/1404.5149