ADDITIONAL SYMMETRIES OF KP, GRASSMANNIAN, AND THE STRING EQUATION II

DOI10.1142/S0217732393001082zbMath1020.37556arXivhep-th/9210155OpenAlexW2949683295MaRDI QIDQ2727539

L. A. Dickey

Publication date: 31 July 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9210155

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (12)

Quantum torus symmetries of multicomponent modified KP hierarchy and reductions ⋮ Virasoro symmetry of the constrained multicomponent Kadomtsev-Petviashvili hierarchy and its integrable discretization ⋮ Eigenvalues of the string constraints for the Kadomtsev-Petviashvili hierarchy ⋮ KdV type hierarchies, the string equation and \(W_{1+\infty}\) constraints ⋮ Recursion relations for the constrained multi-component KP hierarchy ⋮ Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy ⋮ Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies ⋮ A matrix Lie superalgebra and its applications ⋮ Multivariate hypergeometric functions as \(\tau\)-functions of Toda lattice and Kadomtsev-Petviashvili equation ⋮ Soliton theory, symmetric functions and matrix integrals ⋮ The \(n\)th reduced BKP hierarchy, the string equation and \(BW_{1+\infty}\)-constraints ⋮ Block type symmetry of bigraded Toda hierarchy

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