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Collisional phase shifts of ring dark solitons in inhomogeneous Bose–Einstein condensates
- Source :
-
Physics Letters A . Jun2007, Vol. 365 Issue 5/6, p458-462. 5p. - Publication Year :
- 2007
-
Abstract
- Abstract: The head-on collisions of two ring dark solitons in inhomogeneous Bose–Einstein condensates (BECs) with thin disk-shaped potential are studied by the extended Poincaré–Lighthill–Kuo (PLK) perturbation method. The result shows that the system admits a solution with two concentric ring solitons, one moving inwards and the other moving outwards, which in small-amplitude limit, are described by two modified cylindrical KdV equations in the respective reference frames. In particular, the analytical phase shifts induced by the head-on collisions between two ring dark solitary waves are derived, and the result shows that the phase shifts change with the radial coordinate r according to the law (where ), which are quite different with the homogeneous case. [Copyright &y& Elsevier]
- Subjects :
- *SCATTERING (Physics)
*NONLINEAR theories
*ASTRONOMICAL perturbation
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 03759601
- Volume :
- 365
- Issue :
- 5/6
- Database :
- Academic Search Index
- Journal :
- Physics Letters A
- Publication Type :
- Academic Journal
- Accession number :
- 24863264
- Full Text :
- https://doi.org/10.1016/j.physleta.2007.01.036