THE $W^{(2)}_3$ CONFORMAL ALGEBRA AND THE BOUSSINESQ HIERARCHY
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Publication:2726898
DOI10.1142/S0217732391002827zbMath1020.37571OpenAlexW1606605829MaRDI QIDQ2726898
Publication date: 31 July 2001
Published in: Modern Physics Letters A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217732391002827
Virasoro and related algebras (17B68) 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)
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Boundary conditions for general relativity on \(\mathrm{AdS}_{3}\) and the KdV hierarchy ⋮ Integrable systems and the boundary dynamics of higher spin gravity on \( \mathrm{AdS}_3\) ⋮ Poisson pencils: reduction, exactness, and invariants ⋮ Nonlinear realizations of the \(W^{(2)}_3\) algebra ⋮ A note on fractional KdV hierarchies ⋮ Generalized Drinfel'd-Sokolov hierarchies. II: The Hamiltonian structures ⋮ On a new modified equation for the \((x,t)\) interchanged KdV equation. ⋮ Gauge Miura and Bäcklund transformations for generalized A n -KdV hierarchies
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