The Ablowitz-Ladik system is written as $i\dot{u}_n = (1+|u_n|^2)(u_{n+1} + u_{n-1})$ and is completely integrable. To my understanding, such integrable systems always have a so-called Lax Pair, but I cannot find what it is in literature. Do discrete integrable systems have these?
2026-03-25 05:59:50.1774418390
Lax pair for discrete integrable systems?
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