Painlevé test of coupled Gross-Pitaevskii equations

Abstract

Painlevé test of the coupled Gross-Pitaevskii equations has been carried out with the result that the coupled equations pass the P-test only if a special relation containing system parameters (masses, scattering lengths) is satisfied. Computer algebra is applied to evaluate j=4 compatibility condition for admissible external potentials. Appearance of an arbitrary real potential embedded in the external potentials is shown to be the consequence of the coupling. Connection with recent experiments related to stability of two-component Bose-Einstein condensates of Rb atoms is discussed.

13 pages, no figures

Cited by in corpus (4)

• Effect of scattering lengths on the dynamics of a two-component Bose-Einstein condensate
• Painlev{é} singularity structure analysis of three component Gross-Pitaevskii type equations
• Control of the geometric phase and pseudo-spin dynamics on coupled Bose-Einstein condensates
• Assessment of interspecies scattering lengths $a_{12}$ from stability of two-component Bose-Einstein condensates