Common, A.K. and Hessameddini, E. and Musette, M. (1996) The Pinney equation and its discretization. Journal of Physics a-Mathematical and General, 29 (19). pp. 6343-6352. ISSN 0305-4470.
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| Official URL http://dx.doi.org/ 10.1088/0305-4470/29/19/018 |
Abstract
The Pinney equation is part of the original Ermakov system which has been the subject of intensive study recently. Here we show that it may be related to a two-dimensional conformal Riccati equation leading to a new method for its linearization. A discrete analogue of the Pinney equation is constructed using the above connection with the conformal group. An alternative discretization is obtained by using a discrete Schwarz derivative. Both of these nonlinear difference equations are linearizable.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QC Physics > QC20 Mathematical Physics Q Science > QC Physics |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | M.A. Ziai |
| Date Deposited: | 15 May 2009 08:01 |
| Last Modified: | 15 May 2009 08:01 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/18886 (The current URI for this page, for reference purposes) |
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