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Based on the factorization of soliton equations into two commuting integrablex- and t-constrained flows, we derive N-soliton solutions for mKdV equation viaits x- and t-constrained flows. It shows that soliton solution for solitonequations can be constructed directly from the constrained flows.Comment: 10 pages, Latex, to be published in "J. Phys. A: Math. Gen.

ConstructingN-soliton solution for the mKdV equation through constrained flows