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Using gauge transformations for the corresponding generatingpseudo-differential operators $L^n$ in terms of eigenfunctions and adjointeigenfunctions, we construct several types of auto-B\"{a}cklund transformationsfor the KP hierarchy with self-consistent sources (KPHSCS) and mKP hierarchywith self-consistent sources (mKPHSCS) respectively. The B\"{a}cklundtransformations from the KPHSCS to mKPHSCS are also constructed in this way.Comment: 22 pages. to appear in J.Phys.

Bäcklund transformations for the KP and mKP hierarchies with self-consistent sources