B\"acklund transformations for the KP and mKP hierarchies with self-consistent sources
Abstract
Using gauge transformations for the corresponding generating pseudo-differential operators Ln in terms of eigenfunctions and adjoint eigenfunctions, we construct several types of auto-B\"acklund transformations for the KP hierarchy with self-consistent sources (KPHSCS) and mKP hierarchy with self-consistent sources (mKPHSCS) respectively. The B\"acklund transformations from the KPHSCS to mKPHSCS are also constructed in this way.
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