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A three-by-three matrix spectral problem for AKNS hierarchy and its binary Nonlinearization - MaRDI portal

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A three-by-three matrix spectral problem for AKNS hierarchy and its binary Nonlinearization

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Publication:6511749

DOI10.1016/S0378-4371(96)00225-7arXivsolv-int/9510012MaRDI QIDQ6511749

Author name not available (Why is that?)


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.












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