paper

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

arXiv:nlin/0510020 · doi:10.1088/0305-4470/39/1/010

Abstract

Using gauge transformations for the corresponding generating pseudo-differential operators 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.

22 pages. to appear in J.Phys.A

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