The dressing techniques for intermediate hierarchies

DOI10.1007/BF02065866zbMath0858.35111arXivhep-th/9412005MaRDI QIDQ1920641

Stanislav Pakuliak, P. I. Holod

Publication date: 23 March 1997

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9412005

zbMATH Keywords

Hamiltonian reductiondressing by matrix pseudo-differential operatorsregular elements of the Heisenberg subalgebras

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) 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)

Cites Work

• Lie algebras and equations of Korteweg-de Vries type
• Algebraic aspects of nonlinear differential equations
• Bosonic and fermionic realizations of the affine algebra \(\widehat {gl_ n}\)
• Nonlocal integrable partners to generalized MKdV and two-dimensional Toda lattice equation in the formalism of a dressing method with quantized spectral parameter
• Generalized Drinfel'd-Sokolov hierarchies
• The resolvent and Hamiltonian systems
• Generalized Drinfeld-Sokolov reductions and KdV type hierarchies
• τ functions and zero curvature equations of Toda–AKNS type
• Commuting flows and conservation laws for Lax equations
• On the τ-function of matrix hierarchies of integrable equations
• Regular conjugacy classes in the Weyl group and integrable hierarchies
• Dressing transformations and Poisson group actions
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