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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Detalhes bibliográficos

Publicado no:	Proc Natl Acad Sci U S A
Principais autores:	Levi, D., Benguria, R.
Formato:	Artigo
Idioma:	Inglês
Publicado em:	National Academy of Sciences 1980
Assuntos:	Physical Sciences: Applied Mathematical Sciences
Acesso em linha:	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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