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.
|The full text of this publication is not available from this repository. (Contact us about this Publication)|
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.
|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)|
- Depositors only (login required):