Tongas, A., Tsoubelis, D., Xenitidis, Pavlos (2001) Integrability aspects of a Schwarzian PDE. Physics Letters A, 284 (6). pp. 266-274. ISSN 0375-9601. (doi:10.1016/S0375-9601(01)00295-X) (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:50073)
| 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://doi.org/10.1016/S0375-9601(01)00295-X |
Abstract
We present a reduction of the anti-self-dual Yang–Mills (ASDYM) equations to a system of partial differential equations (PDEs) introduced recently by Nijhoff et al. (Phys. Lett. A 267 (2000) 147). An auto-Bäcklund transformation of the reduced system is also presented. The system under consideration is related to a fourth-order nonlinear PDE of the Schwarzian type. The symmetry group of the latter equation is calculated and similarity reductions to the Schwarzian equation and the full Painlevé III, V and VI are presented.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1016/S0375-9601(01)00295-X |
| Subjects: | Q Science > QC Physics > QC20 Mathematical Physics |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Pavlos Xenitidis |
| Date Deposited: | 07 Aug 2015 15:21 UTC |
| Last Modified: | 05 Nov 2024 10:35 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/50073 (The current URI for this page, for reference purposes) |
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