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The modified Boussinesq hierarchy associated with the 3×3 matrix spectral problem is derived with the help of Lenard recursion equations. Based on the characteristic polynomial of Lax matrix for the modified Boussinesq hierarchy, we introduce an algebraic curve Km−1 of arithmetic genus m−1, from which we establish the associated Baker–Akhiezer function, meromorphic function and Dubrovin-type equations...
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