English

A note on the KP hierarchy

High Energy Physics - Theory 2015-06-26 v1

Abstract

Given the two boson representation of the conformal algebra \hat W_\infty, the second Hamiltonian structure of the KP hierarchy, I construct a bi-Hamiltonian hierarchy for the two associated currents. The KP hierarchy appears as a composite of this new and simpler system. The bi-Hamiltonian structure of the new hierarchy gives naturally all the Hamiltonian structures of the KP system.

Keywords

Cite

@article{arxiv.hep-th/9203062,
  title  = {A note on the KP hierarchy},
  author = {Didier A Depireux},
  journal= {arXiv preprint arXiv:hep-th/9203062},
  year   = {2015}
}

Comments

12 pages, no figures