English

Orthogonal and symplectic matrix integrals and coupled KP hierarchy

solv-int 2009-10-31 v1 High Energy Physics - Theory Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

Orthogonal and symplectic matrix integrals are investigated. It is shown that the matrix integrals can be considered as a τ\tau-function of the coupled KP hierarchy, whose solution can be expressed in terms of pfaffians.

Keywords

Cite

@article{arxiv.solv-int/9909023,
  title  = {Orthogonal and symplectic matrix integrals and coupled KP hierarchy},
  author = {Saburo Kakei},
  journal= {arXiv preprint arXiv:solv-int/9909023},
  year   = {2009}
}

Comments

4 pages, LaTeX, no figures. to appear in J. Phys. Soc. Jpn. Vol. 68, No. 9 (1999)