IsospectrM and non-isospectral hierarchies related to a variable coefficient Painlev6 integrable Korteweg-de Vries （KdV for short） equation are derived. The hier- archies share a formal recursion operator which is n...IsospectrM and non-isospectral hierarchies related to a variable coefficient Painlev6 integrable Korteweg-de Vries （KdV for short） equation are derived. The hier- archies 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 recur- sion operator, the authors construct two sets of symmetries and their Lie algebra for the isospectral variable coefficient Korteweg-de Vries （vcKdV for short） hierarchy.展开更多
基金supported by the National Natural Science Foundation of China(No.11071157)Doctor of Campus Foundation of Shandongjianzhu University(No.1275)
文摘IsospectrM and non-isospectral hierarchies related to a variable coefficient Painlev6 integrable Korteweg-de Vries （KdV for short） equation are derived. The hier- archies 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 recur- sion operator, the authors construct two sets of symmetries and their Lie algebra for the isospectral variable coefficient Korteweg-de Vries （vcKdV for short） hierarchy.
