数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (1): 97-107.
曾云波
Zeng Yunbo
摘要: By using the constraint relating potential and eigenfunctions, the decomposition of each equation in the Boussinesq hierarchy into two commuting finite-dimensional integrable Hamiltonian system (FDIHS) is presented. A method to construct the Lax representations for both x-and tn-constrained flows via reduction of the adjoint representations of the auxiliary linear problems is developed.