On the combinatorics of the Hirota D -operators
1996; Royal Society; Volume: 452; Issue: 1945 Linguagem: Inglês
10.1098/rspa.1996.0013
ISSN1471-2946
AutoresC. R. Gilson, Franklin Lambert, J. J. C. Nimmo, Ralph Willox,
Tópico(s)Algebraic structures and combinatorial models
ResumoRestricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Gilson C. , Lambert F. , Nimmo J. and Willox R. 1996On the combinatorics of the Hirota D-operatorsProc. R. Soc. Lond. A.452223–234http://doi.org/10.1098/rspa.1996.0013SectionRestricted accessArticleOn the combinatorics of the Hirota D-operators C. Gilson Google Scholar Find this author on PubMed Search for more papers by this author , F. Lambert Google Scholar Find this author on PubMed Search for more papers by this author , J. Nimmo Google Scholar Find this author on PubMed Search for more papers by this author and R. Willox Google Scholar Find this author on PubMed Search for more papers by this author C. Gilson Google Scholar Find this author on PubMed , F. Lambert Google Scholar Find this author on PubMed , J. Nimmo Google Scholar Find this author on PubMed and R. Willox Google Scholar Find this author on PubMed Published:08 February 1996https://doi.org/10.1098/rspa.1996.0013AbstractA generic formula is presented which relates the Hirota D-operators to simple combinatorics. Particular classes of partition polynomials (Bell-polynomials and generalizations) are found to play an important role in the characterization of bilinearizable equations. As a consequence it is shown that bilinear Bäcklund transformations for single-field bilinearizable equations linearize systematically into corresponding Lax-pairs.FootnotesThis text was harvested from a scanned image of the original document using optical character recognition (OCR) software. As such, it may contain errors. Please contact the Royal Society if you find an error you would like to see corrected. Mathematical notations produced through Infty OCR. 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