Toda hierarchy with indefinite metric

DOI10.1016/0167-2789(95)00269-3zbMath0890.58025arXivsolv-int/9505004OpenAlexW2039764076MaRDI QIDQ1910600

Yuji Kodama, Jian Ye

Publication date: 19 March 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9505004

zbMATH Keywords

inverse scatteringsymmetric Toda hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items

Supergravity black holes and billiards and the Liouville integrable structure associated with Borel algebras ⋮ Lie algebraic aspects of the finite nonperiodic Toda flows ⋮ Iso-spectral deformations of general matrix and their reductions on Lie algebras ⋮ Extensions of the finite nonperiodic Toda lattices with indefinite metrics ⋮ Generalizations of the finite nonperiodic Toda lattice and its Darboux transformation ⋮ The full integration of black hole solutions to symmetric supergravity theories ⋮ Hom-Lie algebras and a coupled Toda equation with indefinite matrices ⋮ The integration algorithm of Lax equation for both generic Lax matrices and generic initial conditions ⋮ Black holes in supergravity and integrability ⋮ Qualitative behavior of non-Abelian Toda-like flows ⋮ Painlevé analysis and normal forms theory ⋮ Adiabatic and non-adiabatic soliton interactions in nonlinear optics ⋮ Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint ⋮ Toda lattices with indefinite metric. II: Topology of the iso-spectral manifolds ⋮ Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh ⋮ Hamiltonian and gradient structures in the Toda flows

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