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

Ting Xiao·Yunbo Zeng
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Abstract

Using gauge transformations for the corresponding generating pseudo-differential operators $L^n$ in terms of eigenfunctions and adjoint eigenfunctions, we construct several types of auto-Bäcklund transformations for the KP hierarchy with self-consistent sources (KPHSCS) and mKP hierarchy with self-consistent sources (mKPHSCS) respectively. The Bäcklund transformations from the KPHSCS to mKPHSCS are also constructed in this way.

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Ting Xiao, Yunbo Zeng. 2005-10-12. Bäcklund transformations for the KP and mKP hierarchies with self-consistent sources. https://doi.org/10.1088/0305-4470%2F39%2F1%2F010

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