Arthur, M. D.; Case, K. M. Gradient theorem for completely integrable Hamiltonian systems. (English) Zbl 0501.58019 J. Math. Phys. 23, 1771-1777 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 58E30 Variational principles in infinite-dimensional spaces 70H99 Hamiltonian and Lagrangian mechanics Keywords:Korteweg-de Vries equation; Zakharov-Shabat eigenvalue problem; Poisson brackets; completely integrable Hamiltonian system PDFBibTeX XMLCite \textit{M. D. Arthur} and \textit{K. M. Case}, J. Math. Phys. 23, 1771--1777 (1982; Zbl 0501.58019) Full Text: DOI References: [1] DOI: 10.1063/1.525382 · doi:10.1063/1.525382 [2] DOI: 10.1063/1.523777 · Zbl 0383.35065 · doi:10.1063/1.523777 [3] DOI: 10.1002/sapm1974534249 · Zbl 0408.35068 · doi:10.1002/sapm1974534249 [4] DOI: 10.1002/sapm1974534249 · Zbl 0408.35068 · doi:10.1002/sapm1974534249 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.