Tau-functions generating the conservation laws for generalized integrable hierarchies of KdV and affine Toda type

DOI10.1016/S0550-3213(99)00066-8zbMath0947.37046arXivhep-th/9809052OpenAlexW3100026430MaRDI QIDQ1572087

J. Luis Miramontes

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9809052

zbMATH Keywords

integrable hierarchiessingle scalar tau-functionsoliton equations of KdV and mKdV typeToda lattice hierarchies

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items

Toda equations associated with loop groups of complex classical Lie groups ⋮ Bihamiltonian cohomologies and integrable hierarchies. II: The tau structures ⋮ Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations ⋮ Virasoro constraints for Drinfeld–Sokolov hierarchies and equations of Painlevé type ⋮ Virasoro symmetries of multicomponent Gelfand-Dickey systems ⋮ The AdS\({}_{5}\) {\(\times\)} S\({}^{5}\) semi-symmetric space sine-Gordon theory ⋮ Drinfeld-Sokolov hierarchies and diagram automorphisms of affine Kac-Moody algebras ⋮ Integrable quantum field theories with unstable particles ⋮ Massive symmetric space sine-Gordon soliton theories and perturbed conformal field theory ⋮ Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies ⋮ Classical and quantum solitons in the symmetric space sine-Gordon theories ⋮ Solving non-Abelian loop Toda equations ⋮ Tau functions and Virasoro symmetries for Drinfeld-Sokolov hierarchies ⋮ Multicharged dyonic integrable models

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