Tian, Kai, Wang, Jing Ping (2017) Symbolic Representation and Classification of N = 1 Supersymmetric Evolutionary Equations. Studies in Applied Mathematics, 138 (4). pp. 467-498. ISSN 0022-2526. E-ISSN 1467-9590. (doi:10.1111/sapm.12163) (KAR id:59810)
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| Official URL: http:/dx.doi.org/10.1111/sapm.12163 |
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Abstract
We extend the symbolic representation to the ring of N = 1 supersymmetricdifferential polynomials, and demonstrate that operations on the ring, suchas the super derivative, Fr´echet derivative, and super commutator, can becarried out in the symbolic way. Using the symbolic representation, weclassify scalar ?-homogeneous N = 1 supersymmetric evolutionary equa-tions with nonzero linear term when ?>0 for arbitrary order and give acomprehensive description of all such integrable equations.
| Item Type: | Article |
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| DOI/Identification number: | 10.1111/sapm.12163 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Jing Ping Wang |
| Date Deposited: | 09 Jan 2017 13:48 UTC |
| Last Modified: | 20 May 2025 11:38 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/59810 (The current URI for this page, for reference purposes) |
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https://orcid.org/0000-0002-6874-5629
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