Back to Search
Start Over
Three-dimensional exact solutions of GrossāPitaevskii equation with variable coefficients
- Source :
-
Applied Mathematics & Computation . Feb2013, Vol. 219 Issue 11, p5779-5786. 8p. - Publication Year :
- 2013
-
Abstract
- Abstract: A three-dimensional GrossāPitaevskii (3D-GP) equation with time variable coefficients is considered, and is transformed into a standard nonlinear Schrödinger (NLS) equation. We study exact solutions of the 3D-GP equation with (space, time)-modulated potential and nonlinearity. In particular, based on the similarity transformation, we report several families of exact solutions of the 3D-GP equation with different amplitude surfaces, in which some physically relevant solutions are described. These results may raise the possibility of relative experiments and potential applications. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 219
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 85583029
- Full Text :
- https://doi.org/10.1016/j.amc.2012.11.089