English

On matrix modified KP hierarchy

Mathematical Physics 2018-06-28 v2 math.MP Exactly Solvable and Integrable Systems

Abstract

Using the bilinear formalism, we consider multicomponent and matrix modified KP hierarchies. The main tool is the bilinear identity for the tau-function which is realized as an expectation value of a Clifford group element composed from multicomponent fermionic operators. We also construct the Baker-Akhiezer functions and derive auxiliary linear equations satisfied by them.

Keywords

Cite

@article{arxiv.1802.02797,
  title  = {On matrix modified KP hierarchy},
  author = {A. Zabrodin},
  journal= {arXiv preprint arXiv:1802.02797},
  year   = {2018}
}

Comments

14 pages, misprints corrected

R2 v1 2026-06-23T00:15:35.671Z