BINARY NONLINEARIZATION OF LAX PAIRS OF KAUP-NEWELL SOLITON HIERARCHY

Kaup-Newell soliton hierarchy is derived from a kind of Lax pairs diff erent from the original ones. A binary non-linearization procedure cor responding to the Bargmann symmetry constraint is carried out for thos e Lax pairs. The proposed Lax pairs together with adjoint Lax pairs ar e constrained as a hierarchy of commutative, finite-dimensional integr able Hamiltonian systems in the Liouville sense, which also provides u s with new examples of finite-dimensional integrable Hamiltonian syste ms. A sort of involutive solutions to the Kaup-Newell, hierarchy are e xhibited through the obtained finite-dimensional integrable systems an d the general involutive system engendered by binary non-linearization is reduced to a specific involutive system generated by mono-non-line arization.