Bäcklund transformations and nonlinear differential difference equations.
It is shown that any Bäcklund transformation of a nonlinear differential equation integrable by the multichannel Schrödinger eigenvalue problem can be written in the form V(x) = U'V - VU. This allows us to interpret the Bäcklund transformation formally as a nonlinear differential difference equation for which we can immediately construct the soliton solutions.
Levi
D
D
Physics Department, The Rockefeller University, New York, New York 10021.
Benguria
R
R