B\"{a}cklund transformations for the KP and mKP hierarchies with self-consistent sources
Exactly Solvable and Integrable Systems
2009-11-11 v1
Abstract
Using gauge transformations for the corresponding generating pseudo-differential operators 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.
Keywords
Cite
@article{arxiv.nlin/0510020,
title = {B\"{a}cklund transformations for the KP and mKP hierarchies with self-consistent sources},
author = {Ting Xiao and Yunbo Zeng},
journal= {arXiv preprint arXiv:nlin/0510020},
year = {2009}
}
Comments
22 pages. to appear in J.Phys.A