On integrability of systems of evolution equations

Beukers, Frits and Sanders, Jan A. and Wang, Jing Ping (2001) On integrability of systems of evolution equations. Journal of Differential Equations, 172 (2). pp. 396-408. ISSN 0022-0396. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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We prove the conjecture, formulated in [BSW98], that almost all systems in the family[formula]have at most finitely many symmetries by using number theory. We list the nine exceptional cases when the systems do have infinitively many symmetries. For such systems, we give the recursive operators to generate their symmetries. We treat both 1the commutative and the noncommutative (or quantum) cases. This is the first example of a class of equations where such a classification has been possible.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: Judith Broom
Date Deposited: 19 Dec 2007 18:25
Last Modified: 11 Jun 2014 09:43
Resource URI: https://kar.kent.ac.uk/id/eprint/686 (The current URI for this page, for reference purposes)
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