清华大学学报（英文版）
清華大學學報（英文版）
청화대학학보（영문판）
TSINGHUA SCIENCE AND TECHNOLOGY
2003年
5期
547-552,567
,共7页
integrable system%nonlinearization method%Lax representation%r-matrix
The binary nonlinearization method is applied to a 4×4 matrix eigenvalue problem. The typical system of the corresponding soliton hierarchy associated with this eigenvalue problem is the multi-component generalization of the nonlinear Schrodinger equation. With this method, Lax pairs and adjoint Lax pairs of the soliton hierarchy are reduced to two classes of finite dimensional Hamiltonian systems: a spatial finite dimensional Hamiltonian system and a hierarchy of temporal finite dimensional Hamiltonian systems. These finite dimensional Hamiltonian systems are commutative and Liouville integrable.
