Orthogonal and symplectic matrix integrals and coupled KP hierarchy
classification
solv-int
hep-thmath-phmath.MPnlin.SI
keywords
integralsmatrixcoupledhierarchyorthogonalsymplecticconsideredexpressed
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Orthogonal and symplectic matrix integrals are investigated. It is shown that the matrix integrals can be considered as a $\tau$-function of the coupled KP hierarchy, whose solution can be expressed in terms of pfaffians.
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