Abstract
Partial differential equations integrable by the linear matrix spectral problem of arbitrary order are considered for the case that the “potentials” take their values in the commutative infinite-dimensional Z 2 graded algebra (superalgebra). The general form of the integrable equations and their Bäcklund transformations are found. The infinite sets of the integrals of the motion are constructed. The hamiltonian character of the integrable equations is proved.
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