Global classification of two-component approximately integrable evolution equations

Details Global classification of two-component approximately integrable evolution equations Global classification of two-component approximately integrable evolution equations

2007-10-11

arxiv.org/abs/0710.2233v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

40 pages, 1 figure, submitted to Foundations of Computational Mathematics, with globally complete description of highest degre

Scientific paper

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.

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