Lie algebra structures for four-component Hamiltonian hydrodynamic type systems

Two types of Lie super-algebra for the s

Two types of Lie super-algebra for the super-integrable Tu-hierarchy and its super-Hamiltonian structure

✍ xin-zeng Wang; xi-kui Liu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 188 KB

Two different Lie super-algebras are constructed which establish two isospectral problems. Under the frame of the zero curvature equations, the corresponding super-integrable hierarchies of the Tu-hierarchy are obtained. By making use of the super-trace identity, the super-Hamiltonian structures of