THE　SOLUTIONS　OF　THE　BROER─KAUP　SOLITON　HIERARCHY　AND　COMPLEX　INVOLUTIVE　SYSTEMS  

作　　者：张保才[1] 顾祝全[1] 

机构地区：[1]石家庄铁路学院

出　　处：《Annals of Differential Equations》1995年第1期117-125,共9页微分方程年刊（英文版）

摘　　要：In this paper, the Broer- Kaup equation[￣1,2,3] and its hierarchy are discussed. Further, using the nonlinearization￣[4] of Lax pairs for the soliton equation, by means of the complex form of real standard symplectic construction, two complex finite dimensional Liouville completely integrable systems associated with Broer-Kaup hierarchy are obtained.So, the solutions of Broer-Kaup hierarchy are transformed into the solutions of Hamiltonian equationsIn this paper, the Broer- Kaup equation[￣1,2,3] and its hierarchy are discussed. Further, using the nonlinearization￣[4] of Lax pairs for the soliton equation, by means of the complex form of real standard symplectic construction, two complex finite dimensional Liouville completely integrable systems associated with Broer-Kaup hierarchy are obtained.So, the solutions of Broer-Kaup hierarchy are transformed into the solutions of Hamiltonian equations

分 类 号：O175[理学—数学]