A Matrix Model Solution of Hirota Equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, Latex, no figures

Scientific paper

We present a hermitian matrix chain representation of the general solution of the Hirota bilinear difference equation of three variables. In the large N limit this matrix model provides some explicit particular solutions of continuous differential Hirota equation of three variables. A relation of this representation to the eigenvalues of transfer matrices of 2D quantum integrable models is discussed.

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