Title
Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation
Abstract
In this paper, the Bell-polynomial approach is extended to the seventh-order Sawada-Kotera-Ito equation which is regarded as a higher-order integrable one in the Korteweg-de Vries hierarchy. Through several combinations of the constructed Bell polynomials, the bilinear form with an auxiliary independent variable introduced, Bäcklund transformation, Lax pair and infinite conservation laws for such an equation are derived by means of symbolic computation.
Year
DOI
Venue
2014
10.1016/j.amc.2013.11.005
Applied Mathematics and Computation
Keywords
Field
DocType
backlund transformation,seventh-order sawada-kotera-ito equation,bell-polynomial approach,korteweg-de vries hierarchy,lax pair,infinite conservation law,bilinear form,higher-order integrable,bell polynomial,auxiliary independent variable,symbolic computation
Integrable system,Bilinear form,Algebra,Polynomial,Mathematical analysis,Symbolic computation,Lax pair,Bell polynomials,Hierarchy,Mathematics,Conservation law
Journal
Volume
Issue
ISSN
227
C
0096-3003
Citations 
PageRank 
References 
7
1.70
3
Authors
5
Name
Order
Citations
PageRank
Yu-Jia Shen193.12
Yi-Tian Gao24214.96
Xin Yu3186.22
Gao-Qing Meng4103.22
Yi Qin539845.11