|
|
| |
| Symmetries and Their Lie Algebra of a Variable Coefficient Korteweg-de Vries Hierarchy |
| |
Citation： |
Xiaoying ZHU,Dajun ZHANG.Symmetries and Their Lie Algebra of a Variable Coefficient Korteweg-de Vries Hierarchy[J].Chinese Annals of Mathematics B,2016,37(4):543~552 |
| Page view： 1763
Net amount： 1249 |
Authors： |
Xiaoying ZHU; Dajun ZHANG |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11071157) and Doctor of Campus Foundation
of Shandongjianzhu University (No.1275). |
|
|
| Abstract： |
Isospectral and non-isospectral hierarchies related to a variable
coefficient Painlev\'{e} integrable Korteweg-de Vries (KdV for
short) equation are derived. The hierarchies share a formal
recursion operator which is not a rigorous recursion operator and
contains $t$ explicitly. By the hereditary strong symmetry property
of the formal recursion operator, the authors construct two sets of
symmetries and their Lie algebra for the isospectral variable
coefficient Korteweg-de Vries (vcKdV for short) hierarchy. |
Keywords： |
vcKdV hierarchies, Symmetries, Lie algebra |
Classification： |
02.30.Ik, 05.45.Yv |
|
|
Download PDF Full-Text
|
