A new integrable generalized Neumann system related to soliton hierarchy

In the present paper, the nonlinearization approach is applied to the soliton hierarchy associated with 3 × 3 matrix spectral problems. A new finite-dimensional integrable generalized C. Neumann system is obtained. The involutive system of conserved integrals is constructed by a direct method. Moreover the involutive solution of the soliton hierarchy is also given.

► This paper discusses the soliton hierarchies associated with 3 × 3 matrix spectral problems.
► A new finite-dimensional integrable generalized C. Neumann system is obtained.
► The involutive system of conserved integrals is constructed by a direct method.
► Moreover the involutive solution of the soliton hierarchies is also given.