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Inverse scattering transformation and soliton stability for a nonlinear GrossāPitaevskii equation with external potentials.
- Source :
-
Applied Mathematics Letters . May2019, Vol. 91, p41-47. 7p. - Publication Year :
- 2019
-
Abstract
- Abstract We consider the GrossāPitaevskii(GP) equation with the combination of periodic and harmonic external potentials. In particular, the method of inverse scattering transformation is applied to the GP equation with external potentials. Furthermore, some exact soliton solutions are obtained for the GP equation by using inverse scattering transformation, in which some physically relevant bright solutions are described. The stabilities of the obtained matter-wave solutions are addressed numerically such that some stable solutions are found, and some solitons can be stable in a wide region. These results may raise the possibility of relative experiments and potential applications. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 91
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 134214602
- Full Text :
- https://doi.org/10.1016/j.aml.2018.11.026