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An integrable decomposition of the Manakov equation

An integrable decomposition of the Manakov equation is presented. A pair of new finite-dimensional integrable Hamiltonian systems which constitute the integrable decomposition of the Manakov equation are obtained. Mathematical subject classification: 37K10.

binary nonlinearization of the spectral problem; the 4-component AKNS equation; the Manakov equation; integrable decomposition


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