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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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.
|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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