Beukers, Frits, Sanders, Jan A., Wang, Jing Ping (2001) On integrability of systems of evolution equations. Journal of Differential Equations, 172 (2). pp. 396-408. ISSN 0022-0396. (doi:10.1006/jdeq.2000.3859) (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) (KAR id:686)
| 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. | |
| Official URL: http://dx.doi.org/10.1006/jdeq.2000.3859 |
Abstract
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 |
|---|---|
| DOI/Identification number: | 10.1006/jdeq.2000.3859 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Funders: | Dutch Research Council (https://ror.org/04jsz6e67) |
| Depositing User: | Judith Broom |
| Date Deposited: | 19 Dec 2007 18:25 UTC |
| Last Modified: | 12 Jul 2022 10:38 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/686 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Wang, Jing Ping.
| Creator's ORCID: |
 https://orcid.org/0000-0002-6874-5629
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