Global Classification of Two-Component Approximately Integrable Evolution Equations

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 Dikiĭ, the Skolem–Mahler–Lech theorem, an algorithm of Smyth, and results on diophantine eq...

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Bibliographic Details
Published in:Foundations of computational mathematics 2009-10, Vol.9 (5), p.559-597
Main Author: Kamp, Peter H
Format: Article
Language:English
Subjects:
Algorithms
Applications of Mathematics
Calculus
Computer Science
Economics
Linear and Multilinear Algebras
Math Applications in Computer Science
Mathematics
Mathematics and Statistics
Matrix Theory
Numerical Analysis
Theorems
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Summary: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 Dikiĭ, the Skolem–Mahler–Lech theorem, an algorithm of Smyth, and results on diophantine equations in roots of unity obtained by Beukers.
ISSN:1615-3375
1615-3383
DOI:10.1007/s10208-009-9041-9