BACKLUND-TRANSFORMATIONS AND NONLINEAR SUPERPOSITION FORMULAS OF A DIFFERENTIAL-DIFFERENCE KDV EQUATION

Authors
HU XB CLARKSON PA
Citation
Xb. Hu et Pa. Clarkson, BACKLUND-TRANSFORMATIONS AND NONLINEAR SUPERPOSITION FORMULAS OF A DIFFERENTIAL-DIFFERENCE KDV EQUATION, Journal of physics. A, mathematical and general, 31(5), 1998, pp. 1405-1414
Citations number
7
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
5
Year of publication
1998
Pages
1405 - 1414
Database
ISI
SICI code
0305-4470(1998)31:5<1405:BANSFO>2.0.ZU;2-D
Abstract
In this paper, a differential-difference KdV equation is considered. W e present two Backlund transformations and corresponding nonlinear sup erposition 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 furth er confirmed.