Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
758786 | Communications in Nonlinear Science and Numerical Simulation | 2011 | 7 Pages |
Abstract
We investigate the nonlinear Schrödinger equation with a time-dependent nonlinear coefficient. By means of Painlevé analysis we establish the integrability for a particular form of the nonlinear coefficient. The corresponding soliton solution is shown to be of the self-similar kind. We discuss the implications of the result to the dynamics of attractive Bose-Einstein condensates under Feshbach-managed nonlinearity and explore the possibility of a managed self-similar evolution in 1D condensates.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
R.A. Kraenkel, K. Nakkeeran, K.W. Chow,