Bäcklund transformations and nonlinear differential difference equations

AUTOR(ES)

Levi, D.

RESUMO

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 Vx = 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.

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