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 Shen | 1 | 9 | 3.12 |
Yi-Tian Gao | 2 | 42 | 14.96 |
Xin Yu | 3 | 18 | 6.22 |
Gao-Qing Meng | 4 | 10 | 3.22 |
Yi Qin | 5 | 398 | 45.11 |