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Global Classification of Two-Component Approximately Integrable Evolution Equations
journal contributionposted on 2022-03-29, 04:20 authored by Pieter Van Der KampPieter Van Der Kamp
We globally classify two-component evolution equations, with homogeneous diagonal linear part, admitting infinitely many approximate symmetries. Important ingredients are the symbolic calculus of Gel'fand and Dikiǐ, the Skolem-Mahler-Lech theorem, an algorithm of Smyth, and results on diophantine equations in roots of unity obtained by Beukers.