New Bilinear Bäcklund Transformation and Lax Pair for the Supersymmetric Two-Boson Equation

In this paper, I introduce a class of super Bell polynomials, which are found to play an important role in the characterization of super supersymmetric equations. An effective approach based on the use of the super Bell polynomials is developed to systematically investigate the bilinearization, Bäck...

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Bibliographic Details
Published inStudies in applied mathematics (Cambridge) Vol. 127; no. 3; pp. 284 - 301
Main Author Fan, E.
Format Journal Article
LanguageEnglish
Published Malden, USA Blackwell Publishing Inc 01.10.2011
Blackwell Publishing Ltd
Subjects
Applied mathematics
Polynomials
Studies
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Summary:In this paper, I introduce a class of super Bell polynomials, which are found to play an important role in the characterization of super supersymmetric equations. An effective approach based on the use of the super Bell polynomials is developed to systematically investigate the bilinearization, Bäcklund transformation, and Lax pair for supersymmetric equations. I take a supersymmetric two‐boson equation to illustrate this procedure. A new bilinear Bäcklund transformation and a Lax pair with both fermionic and bosonic parameters are given. In addition, a kind of exact solitons for the equation are further constructed with the help of the bilinear Bäcklund transformation.
Bibliography:istex:4CB754D1DF5C5F25C4BDD13348AE6E15C31D013C
ark:/67375/WNG-KCV9B8HZ-G
ArticleID:SAPM520
ISSN:0022-2526
1467-9590
DOI:10.1111/j.1467-9590.2011.00520.x