Nonstandard Drinfeld-Sokolov reduction

DOI10.1088/0305-4470/31/25/006zbMath0937.37043arXivsolv-int/9708002OpenAlexW3101286860MaRDI QIDQ3836028

László Fehér, Francois Delduc, Laurent Gallot

Publication date: 6 December 1999

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

Full work available at URL: https://arxiv.org/abs/solv-int/9708002

zbMATH Keywords

pseudodifferential operatorsDrinfeld-Sokolov constructionGelfand-Dickey-type systemsKdV-type hierarchies

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Boundary value problems for PDEs with pseudodifferential operators (35S15) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (6)

Dromion Perturbation for the Davey-Stewartson-1 Equations ⋮ Supersymmetric bi-Hamiltonian systems ⋮ Trigonometric and hyperbolic type solutions to a generalized Drinfel'd-Sokolov equation ⋮ Traveling wave solutions \((u,\nu)\) to a generalized Drinfel'd-Sokolov system which satisfy \(u=a_1\nu^m+a_0\) ⋮ Some interesting bifurcations of nonlinear waves for the generalized Drinfel'd-Sokolov system ⋮ Analytical solutions to a generalized Drinfel'd-Sokolov equation related to DSSH and KdV6

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