1999/04/29 by Henrik Aratyn, H. Aratyn, Emil Nissimov +4
Chemistry · Materials Science · Physics and Astronomy · #Advanced NMR Techniques and Applications #Molecular spectroscopy and chirality #Solid-state spectroscopy and crystallography #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9904024
10 pages, LaTeX209
arxiv created 1999/04/29 · arxiv updated 2009/11/30
We show that any multi-component matrix KP hierarchy is equivalent to the standard one-component (scalar) KP hierarchy endowed with a special infinite set of abelian additional symmetries, generated by squared eigenfunction potentials. This allows to employ a special version of the familiar Darboux-B"acklund transformation techniques within the ordinary scalar KP hierarchy in the Sato formulation for a systematic derivation of explicit multiple-Wronskian tau-function solutions of all multi-component matrix KP hierarchies.