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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...

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Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Cyhoeddwyd yn:Proc Natl Acad Sci U S A
Prif Awduron: Levi, D., Benguria, R.
Fformat: Artigo
Iaith:Inglês
Cyhoeddwyd: National Academy of Sciences 1980
Pynciau:
Mynediad Ar-lein:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC349985/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592867/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.77.9.5025
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