Painlevé Test to a Reduced System of Six Coupled Nonlinear ODEs

نویسندگان

  • B. S. Desale
  • K. D. Patil
چکیده

Abstract: In this paper we investigate the complete integrability of the system of six coupled nonlinear ODEs, which arises in the ODE reduction of rotating stratified Boussinesq equations. We use Painlevé test to investigate the complete integrability of the system. And we conclude that the system is completely integrable only if the Rayleigh number Ra = 0. The singular solution of the system admits the movable pole type singularity in complex domain.

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تاریخ انتشار 2010