On τ-function of the quadrilateral lattice
classification
🌊 nlin.SI
keywords
functionlatticequadrilateralappearsapproachdeterminantdressingequation
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We investigate the $\tau$-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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