Binary nonlinearization of the super classical-Boussinesq hierarchy  

作　　者：陶司兴 王惠 史会 

机构地区：[1]Department of Mathematics,Shangqiu Normal University [2]Department of Mathematics,Shanghai University [3]Department of Physics and Information Engineering,Shangqiu Normal University

出　　处：《Chinese Physics B》2011年第7期13-21,共9页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos.61072147 and 11071159);the Natural Science Foundation of Shanghai,China (Grant No.09ZR1410800);the Science Foundation of the Key Laboratory of Mathematics Mechanization,China (Grant No.KLMM0806);the Shanghai Leading Academic Discipline Project,China (Grant No.J50101);the Key Disciplines of Shanghai Municipality of China (Grant No.S30104)

摘　　要：The symmetry constraint and binary nonlinearization of Lax pairs for the super classical-Boussinesq hierarchy is obtained. Under the obtained symmetry constraint, the n-th flow of the super classical-Boussinesq hierarchy is decomposed into two super finite-dimensional integrable Hamiltonian systems, defined over the super-symmetry manifold with the corresponding dynamical variables x and tn. The integrals of motion required for Liouville integrability are explicitly given.The symmetry constraint and binary nonlinearization of Lax pairs for the super classical-Boussinesq hierarchy is obtained. Under the obtained symmetry constraint, the n-th flow of the super classical-Boussinesq hierarchy is decomposed into two super finite-dimensional integrable Hamiltonian systems, defined over the super-symmetry manifold with the corresponding dynamical variables x and tn. The integrals of motion required for Liouville integrability are explicitly given.

关 键 词：symmetry constraints binary nonlinearization super classical-Boussinesq hierarchy super finite-dimensional integrable Hamiltonian systems 

分 类 号：O411[理学—理论物理]