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

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

2005-10-12

arxiv.org/abs/nlin/0510020v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

22 pages. to appear in J.Phys.A

Scientific paper

10.1088/0305-4470/39/1/010

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-B\"{a}cklund transformations for the KP hierarchy with self-consistent sources (KPHSCS) and mKP hierarchy with self-consistent sources (mKPHSCS) respectively. The B\"{a}cklund transformations from the KPHSCS to mKPHSCS are also constructed in this way.

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