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 


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.


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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