Abstract
In this paper, an isospectral problem with five potentials is investigated in loop algebra A2 such that a new hierarchy of evolution equations with five arbitrary functions is obtained. And then by fixing the five arbitrary functions to be certain functions and using the trace identity, the generalized Hamiltonian structure of the hierarchy of evolution equations is given. It is shown that this hierarchy of equations is Liouville integrable. Finally some special cases of the isospectral problem are also given.
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