scientific article; zbMATH DE number 1839804
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Publication:4783117
zbMath1005.37041MaRDI QIDQ4783117
Publication date: 2 December 2002
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Hamiltonian structureconserved densitiesLiouville completely integrablehierarchy of generalized Burgers equations
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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A hierarchy of the Lax integrable system, its bi-Hamiltonian structure, finite-dimensional integrable system and involutive solution ⋮ A Lax integrable hierarchy, \(N\)-Hamiltonian structure, \(r\)-matrix, finite-dimensional Liouville integrable involutive systems, and involutive solutions. ⋮ Liouville integrable \(N\)-Hamiltonian structures, involutive solutions and separation of variables associated with Kaup-Newell hierarchy. ⋮ New Lax integrable hierarchy and its Liouville integrable bi-Hamiltonian structure associated an isospectral problem with an arbitrary function.
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