An isospectral problem with four potentials is discussed. The corresponding hierarchy of Lax integrable evolution equations is derived. For the hierarchy, it is shown that there exist other new reductions except those presented by Tu, Meng and Ma. For each reduction case the relevant Hamiltonian structure is established by means of trace identity.
机构:
Jadavpur Univ, Dept Phys, High Energy Phys Div, Kolkata 700032, W Bengal, IndiaJadavpur Univ, Dept Phys, High Energy Phys Div, Kolkata 700032, W Bengal, India