Additional symmetries of generalized integrable hierarchies

DOI10.1088/0305-4470/27/13/036zbMath0843.35104arXivhep-th/9311067OpenAlexW2025090540MaRDI QIDQ4869858

J. Luis Miramontes, Timothy J. Hollowood, Joaquín Sánchez Guillén

Publication date: 8 May 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9311067

zbMATH Keywords

Korteweg-de Vries equationVirasoro algebraKac-Moody algebratau-functionsscaling symmetriesnon-isospectral symmetries

Mathematics Subject Classification ID

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (5)

Drinfeld-Sokolov hierarchies, tau functions, and generalized Schur polynomials ⋮ Virasoro constraints for Drinfeld–Sokolov hierarchies and equations of Painlevé type ⋮ Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies ⋮ Tau functions and Virasoro symmetries for Drinfeld-Sokolov hierarchies ⋮ Simple Lie algebras, Drinfeld--Sokolov hierarchies, and multi-point correlation functions

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