Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898238 | Physica D: Nonlinear Phenomena | 2006 | 6 Pages |
Abstract
In this paper we obtain a similarity transformation connecting nonlinear Schrödinger equations with time-varying coefficients with the autonomous cubic nonlinear Schrödinger equation. As applications we construct exact breathing solutions to multidimensional non-autonomous nonlinear Schrödinger equations and discuss how to construct time-dependent coefficients leading to solutions which collapse weakly in three-dimensional scenarios. Our results are applicable to the study of the dynamics of Bose–Einstein condensates in the mean-field limit and dispersion-managed optical systems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Víctor M. Pérez-García, Pedro J. Torres, Vladimir V. Konotop,