Global classification of two-component approximately integrable evolution equations
Abstract
Description
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 Dikii, the Skolem-Mahler-Lech theorem, results on diophantine equations in roots of unity by F. Beukers, and an algorithm of C.J. Smyth.
40 pages, 1 figure, submitted to Foundations of Computational Mathematics, with globally complete description of highest degree divisors, corrected typos and added references
40 pages, 1 figure, submitted to Foundations of Computational Mathematics, with globally complete description of highest degree divisors, corrected typos and added references