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Orthogonal and symplectic matrix integrals and coupled KP hierarchy

Saburo Kakei
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Abstract

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

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Saburo Kakei. 1999-09-22. Orthogonal and symplectic matrix integrals and coupled KP hierarchy. https://doi.org/10.1143/jpsj.68.2875

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