THE COMPLETELY INTEGRABILITY OF A FINITE-DIMENSIONALSYSTEMRELATED TO THE COUPLED NONLINEAR

Authors

  • Lanxin Chen Shijiazhuang University, Shijiazhuang 050035, P.R. China Author
  • Junxian Zhang Shijiazhuang University, Shijiazhuang 050035, P.R. China Author

Keywords:

SPECTRAL PROBLEM, EVOLUTION EQUATION, INTEGRABLE SYSTEM

Abstract

The finite-dimensional complex Hamiltonian system related to the related to the complex 3 x 3 spectral problemand the coupled non-linear Schrödinger equation in the paper is obtained. With the help of the confocal involutive system, we give the proof of the completely integrability of the Hamiltonian systemin the Liouvillesense. Furthermore, the representation of the solution to the evolution equations is generated bythecommutable flows of the finite-dimensional completely integrable system.

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Published

2016-10-31

Issue

Vol. 3 No. 10 (2016): October

Section

Articles