Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions

Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions

We show that a system of Hirota bilinear equations introduced by Jimbo and Miwa defines tau-functions of the modified KP (MKP) hierarchy of evolution equations introduced by Dickey. Some other equivalent definitions of the MKP hierarchy are established. All polynomial tau-functions of the KP and the...

Полное описание

Библиографические подробности
Главные авторы:	Kac, Victor, van de Leur, Johan W.
Другие авторы:	Massachusetts Institute of Technology. Department of Mathematics
Формат:	Статья
Язык:	English
Опубликовано:	Springer Science and Business Media LLC 2020
Online-ссылка:	https://hdl.handle.net/1721.1/125302

Схожие документы

Polynomial tau-functions of BKP and DKP hierarchies
по: Kac, Victor, и др.
Опубликовано: (2021)

Polynomial Tau-Functions for the Multicomponent KP Hierarchy
по: Kac, Victor G, и др.
Опубликовано: (2022)

Polynomial Tau-Functions of the n-th Sawada–Kotera Hierarchy
по: Kac, Victor, и др.
Опубликовано: (2024)

Polynomial tau-functions of the KP, BKP, and the s -component KP hierarchies
по: Kac, Victor G, и др.
Опубликовано: (2021)

$$\underline{p}$$ p ̲ -reduced Multicomponent KP Hierarchy and Classical $$\mathcal {W}$$ W -algebras $$\mathcal {W}(\mathfrak {gl}_N,\underline{p})$$ W ( gl N , p ̲ )
по: Carpentier, Sylvain, и др.
Опубликовано: (2021)

Randomness improvement of AES using MKP
по: Al-Alak, Saif, и др.
Опубликовано: (2013)

BQP and the Polynomial Hierarchy
по: Aaronson, Scott
Опубликовано: (2010)

Increase throughput of CCM security mode using MKP
по: Ahmad Zulkarnain, Zuriati
Опубликовано: (2014)

MKP-1 knockout does not prevent glucocorticoid-induced bone disease in mice.
по: Conradie, M, и др.
Опубликовано: (2011)

On the equivalence of algebraic conditions for convexity and quasiconvexity of polynomials
по: Ahmadi, Amir Ali, и др.
Опубликовано: (2012)

Classical W-Algebras and Generalized Drinfeld–Sokolov Hierarchies for Minimal and Short Nilpotents
по: Valeri, Daniele, и др.
Опубликовано: (2016)

Identification of polymorphisms in the MKP1 gene and their association with bone mineral density in men with asthma
по: Bassiti, A, и др.
Опубликовано: (2005)

Rank weight hierarchy of some classes of polynomial codes
по: Ducoat, Jérôme, и др.
Опубликовано: (2023)

Erratum to: Classical W-Algebras and Generalized Drinfeld–Sokolov Hierarchies for Minimal and Short Nilpotents
по: De Sole, Alberto, и др.
Опубликовано: (2016)

Classical Affine W -Algebras and the Associated Integrable Hamiltonian Hierarchies for Classical Lie Algebras
по: De Sole, Alberto, и др.
Опубликовано: (2019)

Classical Affine W-Algebras for glN and Associated Integrable Hamiltonian Hierarchies
по: De Sole, Alberto, и др.
Опубликовано: (2021)

Polynomial-time equivalence testing for deterministic fresh-register automata
по: Murawski, A, и др.
Опубликовано: (2018)

Some Equivalent Characterizations of the Polynomial Numerical Hull of Degree $k$
по: Burke, J, и др.
Опубликовано: (2004)

Rapid inhibitory effects of glucocorticoids on ERK activity and osteoblast proliferation occur via transcriptional upregulation of MKP-1
по: Horsch, K, и др.
Опубликовано: (2004)

Rapid inhibitory effects of glucocorticoids on ERK activity and osteoblast proliferation occur via transcriptional upregulation of MKP-1
по: Horsch, K, и др.
Опубликовано: (2004)

Polynomial Structure in Semidefinite Relaxations and Non-Convex Formulations
по: Yuan, Chenyang
Опубликовано: (2023)

Equivalence of hydrofluoroalkane (HFA) and chlorofluorocarbons (CFC) formulations of inhaled beclomethasone.
по: Lipworth, B, и др.
Опубликовано: (2000)

The fundamental formulation for inhomogeneous inclusion problems with the equivalent eigenstrain principle
по: Ma, L, и др.
Опубликовано: (2022)

Polynomial assignments
по: Guillemin, Victor W., и др.
Опубликовано: (2015)

Glucocorticoids inhibit osteoblast proliferation via transcriptional upregulation of MKP-1: A prime target for the development of novel osteo-anabolic agents
по: Hulley, P, и др.
Опубликовано: (2003)

Bayesian two-stage structural identification with equivalent formulation and EM algorithm
по: Zhu, Jia-Xin, и др.
Опубликовано: (2024)

Laguerre polynomials and functions
по: Karim B. Yaacob,
Опубликовано: (1997)

Measurements of the tau mass and the mass difference of the tau(+) and tau(-) at BABAR
по: Aubert, B, и др.
Опубликовано: (2009)

Measurements of the tau mass and the mass difference of the tau+ and tau- at BABAR
по: Fisher, Peter H., и др.
Опубликовано: (2010)

Physical functions vs polynomial.
по: Rogers, Alan E.E.
Опубликовано: (2024)

Structure functions in the decay tau(-/+)->pi(-/+)pi(0)pi(0)nu(tau)
по: Browder, T, и др.
Опубликовано: (2000)

Tau functions and the twistor theory of integrable systems
по: Mason, L, и др.
Опубликовано: (2000)

The hierarchy of Davydov's Ansaetze and its applications
по: Zhao, Yang, и др.
Опубликовано: (2023)

Measurement of the Michel parameters and the average tau neutrino helicity from tau decays in e(+)e(-)->tau(+)tau(-)
по: Acciarri, M, и др.
Опубликовано: (1996)

REPRESENTATIONS OF AFFINE SUPERALGEBRAS AND MOCK THETA FUNCTIONS
по: Wakimoto, Minoru, и др.
Опубликовано: (2017)

A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS
по: Kac, Victor, и др.
Опубликовано: (2022)

Representations of superconformal algebras and mock theta functions
по: Wakimoto, M., и др.
Опубликовано: (2018)

Many-electron expansion: A density functional hierarchy for strongly correlated systems
по: Zhu, Tianyu, и др.
Опубликовано: (2016)

On Solutions of Some Polynomial-Functional Equations.
по: Bekbaev, U. D.
Опубликовано: (2002)

Eisenstein polynomials over function fields
по: Dotti, Edoardo, и др.
Опубликовано: (2016)