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Global Classification of Two-Component Approximately Integrable Evolution Equations

journal contribution
posted on 29.03.2022, 04:20 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.

Funding

This research has been funded by the Australian Research Council through the Centre of Excellence for Mathematics and Statistics of Complex Systems.

History

Publication Date

01/10/2009

Journal

Foundations of Computational Mathematics

Volume

9

Issue

5

Pagination

39p. (p. 559-597)

Publisher

Springer

ISSN

1615-3375

Rights Statement

© SFoCM 2009