Hu, Xing-Bao, Clarkson, Peter (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. (doi:10.1088/0305-4470/31/5/010) (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:17827)
| 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://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 |
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| DOI/Identification number: | 10.1088/0305-4470/31/5/010 |
| Subjects: | Q Science > QC Physics |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | R.F. Xu |
| Date Deposited: | 01 Apr 2009 16:38 UTC |
| Last Modified: | 16 Nov 2021 09:56 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/17827 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Clarkson, Peter.
| Creator's ORCID: |
 https://orcid.org/0000-0002-8777-5284
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