Abundant Symmetry Structure of the Kaup-Kupershmidt Hierarchies
HAN Pin*, LOU Senyue
*Department of Physics, Zhoushan Normal College, Zhoushan 316004
CCAST (Wbrld Laboratory), P. O. Box 8730, Beijing 100080 and
Institute of Modern Physics, Ningbo Normal College, Ningbo 315211 (mailing address)
Abundant Symmetry Structure of the Kaup-Kupershmidt Hierarchies
HAN Pin*;LOU Senyue
*Department of Physics, Zhoushan Normal College, Zhoushan 316004
CCAST (Wbrld Laboratory), P. O. Box 8730, Beijing 100080 and
Institute of Modern Physics, Ningbo Normal College, Ningbo 315211 (mailing address)
Abstract: Explicit computation for the Kaup-Kupershmidt (KK) equation shows that there exists an abundant symmetry structure of the KK hierarchy. The recursion operator, inverse recursion operator and the symmetries all can be expressed explicitly by the pseudopotential of the KK equation.