Binary Nonlinearization of Lax pairs of Kaup-Newell Soliton Hierarchy

Abstract

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.

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

References in corpus (2)

• Binary nonlinearization for the Dirac systems
• Binary Nonlinearization of Lax Pairs

Cited by in corpus (10)

• Binary Symmetry Constraints of N-wave Interaction Equations in 1+1 and 2+1 Dimensions
• A Coupled AKNS-Kaup-Newell Soliton Hierarchy
• Separation of variables for soliton equations via their binary constrained flows
• Finite-dimensional integrable systems associated with Davey-Stewartson I equation
• Families of quai-bi-Hamiltonian systems and separability
• Seiberg-Witten Monopole Equations And Riemann Surfaces
• A new method to introduce additional separated variables for high-order binary constrained flows
• Finite dimensional integrable Hamiltonian systems associated with DSI equation by Bargmann constraints
• General soliton solutions to a coupled Fokas-Lenells equation
• Non-symmetry constraints of the AKNS system yielding integrable Hamiltonian systems