On $τ$-function of the quadrilateral lattice

Details On $τ$-function of the quadrilateral lattice On $τ$-function of the quadrilateral lattice

2008-12-31

arxiv.org/abs/0901.0112v1

J. Phys. A: Math. Theor. 42 (2009) 404008

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages

Scientific paper

10.1088/1751-8113/42/40/404008

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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