2 problems

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Zabrodin's conjecture on the discrete KP hierarchy and Hirota equations
Let $\tau(n_1,n_2,\ldots)$ be a tau function of the fully discrete KP hierarchy. For an index $i$ , write $\tau_{(\pm i)}$ for the shift of $\tau$ by $\pm1$ in the variable $n_i$ , a…
Conjecturesolveddiscrete-integrable-systems discrete-kp hirota-equationsarXiv posted 3 days ago
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Conjecture on exponent conditions for discrete Hirota solutions
Exponent-conditions conjecture. The exponents satisfy
Conjectureopenhirota-equations integrable-systems stokes-phenomenaarXiv posted 3 days ago

Zabrodin's conjecture on the discrete KP hierarchy and Hirota equations