Integrability of two-component nonautonomous nonlinear Schrödinger equation

Details Integrability of two-component nonautonomous nonlinear Schrödinger equation Integrability of two-component nonautonomous nonlinear Schrödinger equation

2010-11-05

arxiv.org/abs/1011.1316v1

Physics

Atomic and Molecular Clusters

Scientific paper

We investigate the integrability of generalized nonautonomous nonlinear Schr\"odinger (NLS) equations governing the dynamics of the single- and double-component Bose-Einstein condensates (BECs). The integrability conditions obtained indicate that the existence of the nonautonomous soliton is due to the balance between the different competition features: the kinetic energy (dispersion) versus the harmonic external potential applied and the dispersion versus the nonlinearity. In the double-component case, it includes all possible different combinations between the dispersion and nonlinearity involving intra- and inter-interactions. This result shows that the nonautonomous soliton has the same physical origin as the canonical one, which clarifies the nature of the nonautonomous soliton. Finally, we also discuss the dynamics of two-component BEC by controlling the relevant experimental parameters.

Affiliated with

Also associated with

No associations

Rating

Integrability of two-component nonautonomous nonlinear Schrödinger equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integrability of two-component nonautonomous nonlinear Schrödinger equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrability of two-component nonautonomous nonlinear Schrödinger equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-453697