Binary Nonlinearization of Lax pairs of Kaup-Newell Soliton Hierarchy

Details Binary Nonlinearization of Lax pairs of Kaup-Newell Soliton Hierarchy Binary Nonlinearization of Lax pairs of Kaup-Newell Soliton Hierarchy

1996-08-06

arxiv.org/abs/solv-int/9608003v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, plain+ams tex, to be published in Il Nuovo Cimento B

Scientific paper

10.1007/BF02743224

Kaup-Newell soliton hierarchy is derived from a kind of Lax pairs different from the original ones. Binary nonlinearization 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 nonlinearization is reduced to a specific involutive system generated by mono-nonlinearization.

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