On $τ$ -function of the quadrilateral lattice

preprint2008arXivOpen access

We investigate the $τ$ -function of the quadrilateral lattice using the nonlocal $\bar\partial$ -dressing method, and we show that it can be identified with the Fredholm determinant of the integral equation which naturally appears within that approach.

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On $τ$ -function of the quadrilateral lattice

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On τττ-function of the quadrilateral lattice

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On $τ$ -function of the quadrilateral lattice