The string equation and the τ-function Witt constraints for the discrete Kadomtsev-Petviashvili hierarchy

DOI10.1063/1.4826357zbMath1298.37055OpenAlexW2039840713MaRDI QIDQ5410887

Wen-Xiu Ma, Shao-Wei Liu

Publication date: 17 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4826357

zbMATH Keywords

Witt algebrastring equationdiscrete Kadomtsev-Petviashvili hierarchy\({\tau}\)-function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Difference operators (39A70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items

On the modified KP hierarchy: tau functions, squared eigenfunction symmetries and additional symmetries, Eigenvalues of the string constraints for the Kadomtsev-Petviashvili hierarchy, Several integrable properties of the discrete KP hierarchy obtained by means of gauge transformations, On the discrete modified KP hierarchies: the Wronskian solutions for their constrained cases, Miura and auto-Bäcklund transformations for the discrete KP and mKP hierarchies and their constrained cases, Sato–Bäcklund transformations and string equations of the mKP hierarchy

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