A three-by-three matrix spectral problem for AKNS hierarchy and its binary Nonlinearization
arXiv:solv-int/9510012 · doi:10.1016/S0378-4371(96)00225-7
Abstract
A three-by-three matrix spectral problem for AKNS soliton hierarchy is proposed and the corresponding Bargmann symmetry constraint involved in Lax pairs and adjoint Lax pairs is discussed. The resulting nonlinearized Lax systems possess classical Hamiltonian structures, in which the nonlinearized spatial system is intimately related to stationary AKNS flows. These nonlinearized Lax systems also lead to a sort of involutive solutions to each AKNS soliton equation.
21pages, in Latex
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Cited by in corpus (13)
- Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
- Binary Symmetry Constraints of N-wave Interaction Equations in 1+1 and 2+1 Dimensions
- Binary nonlinearization of the super AKNS system
- Binary Nonlinearization of the Super Akns System Under an Implicit Symmetry Constraint
- Separation of variables for soliton equations via their binary constrained flows
- Finite-dimensional integrable systems associated with Davey-Stewartson I equation
- Lax Representations and Zero Curvature Representations by Kronecker Product
- Liouville integrability of the finite dimensional Hamiltonian systems derived from principal chiral field
- Families of quai-bi-Hamiltonian systems and separability
- 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
- Non-symmetry constraints of the AKNS system yielding integrable Hamiltonian systems
- The Bargmann symmetry constraint and binary nonlinearization of the super Dirac systems