Neumann and Bargmann Systems Associated with an Extension of the Coupled KdV Hierarchy

Zhimin Jiang
1999 Journal of Nonlinear Mathematical Physics  
An eigenvalue problem with a reference function and the corresponding hierarchy of nonlinear evolution equations are proposed. The bi-Hamiltonian structure of the hierarchy is established by using the trace identity. The isospectral problem is nonlinearized as to be finite-dimensional completely integrable systems in Liouville sense under Neumann and Bargmann constraints.
doi:10.2991/jnmp.1999.6.1.2 fatcat:ljbqngj5ufarzgsqscvcid462q