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Fokas, A. S.; Anderson, R. L.

On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems. (English) Zbl 0495.58016

J. Math. Phys. 23, 1066-1073 (1982).
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Cited in 1 Review
Cited in 54 Documents

MSC:

37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
58J50 Spectral problems; spectral geometry; scattering theory on manifolds

Keywords:

isospectral eigenvalue problems; hereditary symmetries for Hamiltonian systems; exactly solvable equation; squared-eigenfunction operators; recursion operators; strong symmetries
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Full Text: DOI

References:

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