Acta Mathematicae Applicatae Sinica

, Volume 9, Issue 1, pp 92–96 | Cite as

On the complete integrability of nonlinearized lax systems for the classical Boussinesq hierarchy

  • Ma Wenxiu 
Article

Abstract

TheN involutive integrals of motion with linearly independent gradients for the nonlinearized eigenvalue problem corresponding to the classical Boussinesq (CB) hierarchy are given. It is shown that whenn=1, 2, 3, the nonlinearized time parts of Lax systems for the CB hierarchy are transformed into three finite-dimensional integrable Hamiltonian systems under the constraint of the nonlinearized spatial part.

Keywords

Eigenvalue Problem Hamiltonian System Math Application Time Part Complete Integrability 

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Copyright information

© Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A. 1993

Authors and Affiliations

  • Ma Wenxiu 
    • 1
  1. 1.Institute of MathematicsFudan UniversityShanghaiChina

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