scientific article

zbMath0642.70008MaRDI QIDQ3783649

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Publication date: 1986

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zbMATH Keywords

Hermitian symmetric spacesLax representationstationary flowsmany-body systemscompletely integrable systemsintegrable many-body systemsgeneralized multi-component nonlinear Schrödinger equationinfinite families of separable potentialsIntegrable quartic potentialsone-particle potentials

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

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The equation \(X\nabla \text{det}X = \text{det}X\nabla \text{tr}X\), multiplication of cofactor pair systems, and the Levi-Civita equivalence problem ⋮ Natural coordinates for a class of Benenti systems ⋮ Multiplication of solutions for linear overdetermined systems of partial differential equations ⋮ Flat coordinates of flat Stäckel systems ⋮ Multiplication for solutions of the equation grad \(f = M\) grad \(g\)

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