The \([n_ 1, n_ 2, \dots, n_ s]\)-th reduced KP hierarchy and \(W_{1+ \infty}\) constraints

DOI10.1007/BF02066653zbMath0875.35105arXivhep-th/9411071OpenAlexW3123862181MaRDI QIDQ1920651

Johan W. van de Leur

Publication date: 4 November 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9411071

zbMATH Keywords

reductionsKP hierarchy\(\tau\)-functionmatrix KdV-type equations

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (1)

Boson–Fermion correspondence of the multi-component constrained mKP hierarchy

Cites Work

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• Solitons and infinite dimensional Lie algebras
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• Bosonic and fermionic realizations of the affine algebra \(\widehat {gl_ n}\)
• Infinite dimensional Grassmannian structure of two-dimensional quantum gravity
• A matrix integral solution to two-dimensional \(W_ p\)-gravity
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• Lie algebras of differential operators, their central extensions, and W- algebras
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Calculus of twisted vertex operators

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