Search Results - "van de Leur, Johan"

Polynomial Tau-Functions of the n-th Sawada–Kotera Hierarchy by Kac, Victor, van de Leur, Johan

“…We give a review of the B-type Kadomtsev–Petviashvili (BKP) hierarchy and find all polynomial tau-functions of the n-th reduced BKP hierarchy (=n-th…”
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p̲-reduced Multicomponent KP Hierarchy and Classical W-algebras W(glN,p̲) by Carpentier, Sylvain, De Sole, Alberto, Kac, Victor G., Valeri, Daniele, van de Leur, Johan

“…For each partition p ̲ of an integer N ≥ 2 , consisting of r parts, an integrable hierarchy of Lax type Hamiltonian PDE has been constructed recently by some…”
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underline{p}$$-reduced Multicomponent KP Hierarchy and Classical $$\mathcal {W}$$-algebras $$\mathcal {W}(\mathfrak {gl}_N,\underline{p}) by Carpentier, Sylvain, De Sole, Alberto, Kac, Victor G., Valeri, Daniele, van de Leur, Johan

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Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions by Kac, Victor G., van de Leur, Johan W.

“…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…”
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Matrix Integrals and the Geometry of Spinors by Van De Leur, Johan

“…We obtain the collection of symmetric and symplectic matrix integrals and the collection of Pfaffian tau-functions, recently described by Peng and Adler and…”
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CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae by van de Leur, Johan W.

“…We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981),…”
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Polynomial Tau-Functions of the In/I-th Sawada - Kotera Hierarchy by Kac, Victor, van de Leur, Johan

“…We give a review of the B-type Kadomtsev–Petviashvili (BKP) hierarchy and find all polynomial tau-functions of the n-th reduced BKP hierarchy (=n-th…”
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Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows by Aratyn, Henrik

“…We use a Grassmannian framework to define multi-component tau functions as expectation values of certain multi-component Fermi operators satisfying simple…”
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Solutions of the WDVV Equations and Integrable Hierarchies of KP Type by Aratyn, Henrik, Leur, Johan van de

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Pfaffian and Determinantal Tau Functions by van de Leur, Johan W., Orlov, Alexander Yu

“…Adler, Shiota and van Moerbeke observed that a tau function of the Pfaff lattice is a square root of a tau function of the Toda lattice hierarchy of Ueno and…”
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Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy by Carlet, G., Leur, J. van de, Posthuma, H., Shadrin, S.

“…We consider the Dubrovin–Frobenius manifold of rank 2 whose genus expansion at a special point controls the enumeration of a higher genera generalization of…”
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The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints by van de Leur, Johan

“…The total descendent potential of a simple singularity satisfies the Kac-Wakimoto principal hierarchy. Bakalov and Milanov showed recently that it is also a…”
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The nth reduced BKP hierarchy, the string equation and BW 1+∞-constraints by Van de Leur, Johan

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Infinite-dimensional prolongation Lie algebras and multicomponent Landau–Lifshitz systems associated with higher genus curves by Igonin, Sergey, van de Leur, Johan, Manno, Gianni, Trushkov, Vladimir

“…The Wahlquist–Estabrook prolongation method constructs for some PDEs a Lie algebra that is responsible for Lax pairs and Bäcklund transformations of certain…”
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Bäcklund transformations for certain rational solutions of Painlevé VI by van de Leur, Johan, Aratyn, Henrik

“…We introduce certain Bäcklund transformations for rational solutions of the Painlevé VI equation. These transformations act on a family of Painlevé VI tau…”
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Givental symmetries of Frobenius manifolds and multi-component KP tau-functions by Feigin, Evgeny, van de Leur, Johan, Shadrin, Sergey

“…We establish a link between two different constructions of the action of the twisted loop group on the space of Frobenius structures. The first construction…”
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BKP tau-functions as square roots of KP tau-functions by van de Leur, Johan

“…It is well-known that a BKP tau-function is the square root of a certain KP tau-function, provided one puts the even KP times equal to zero. In this paper we…”
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Bäcklund transformations for new integrable hierarchies related to the polynomial Lie algebra g l ∞ ( n ) by van de Leur, Johan

“…In a recent paper [P. Casati, G. Ortenzi, New integrable hierarchies from vertex operator representations of polynomial Lie algebras, J. Geom. Phys. 56 (3)…”
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Irreducible highest weight representations of the simple n-Lie algebra by Bălibanu, Dana, van de Leur, Johan

“…A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n -Lie algebra. Using a slightly different approach, we obtain in…”
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Polynomial tau-functions of the n-th Sawada-Kotera hierarchy by Kac, Victor, Van de Leur, Johan

“…We find all polynomial tau-functions of the n-th reduced BKP hierarchy (=n-th Sawada-Kotera hierarchy). The name comes from the fact that for n=3 the simplest…”
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