Hu, X.B. and Clarkson, P.A. (1998) Backlund transformations and nonlinear superposition formulae of a differential-difference KdV equation. Journal of Physics a-Mathematical and General, 31 (5). pp. 1405-1414. ISSN 0305-4470.
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| Official URL http://dx.doi.org/10.1088/0305-4470/31/5/010 |
Abstract
In this paper, a differential-difference KdV equation is considered. We present two Backlund transformations and corresponding nonlinear superposition formulae for it. As an application of the obtained results, N-soliton solutions first obtained by Ohta and Hirota are rederived. Furthermore, a sequence of rational solutions are also obtained. Thus the integrability of the differential-difference KdV equation is further confirmed.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | R.F. Xu |
| Date Deposited: | 01 Apr 2009 16:38 |
| Last Modified: | 01 Apr 2009 16:38 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/17827 (The current URI for this page, for reference purposes) |
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