Generalised Backlund transformation for some non-linear partial differential-difference equations
- 1 January 1978
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (1) , 81-92
- https://doi.org/10.1088/0305-4470/11/1/011
Abstract
The generalised Backlund transformations connecting two different solutions of non-linear partial differential-difference equations solvable by an inverse method are determined. The scattering problem for the inverse method is the discretised scalar Schrodinger equation. In particular the Backlund transformations relating two different solutions of the same equation and a transformation between a solution of the same equation at two different times are presented.Keywords
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