Binary non-linearization of Lax pairs of Kaup-Newell soliton hierarchy
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Kaup-Newell soliton hierarchy is derived from a kind of Lax pairs different from the original ones. A binary non-linearization procedure corresponding to the Bargmann symmetry constraint is carried out for those Lax pairs. The proposed Lax pairs together with adjoint Lax pairs are constrained as a hierarchy of commutative, finite-dimensional integrable Hamiltonian systems in the Liouville sense, which also provides us with new examples of finite-dimensional integrable Hamiltonian systems. A sort of involutive solutions to the Kaup-Newell hierarchy are exhibited through the obtained finite-dimensional integrable systems and the general involutive system engendered by binary non-linearization is reduced to a specific involutive system generated by mono-non-linearization.
PACS03.40.Kg Waves and wave propagation: general mathematical aspects
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