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Center for Nonlinear Studies |
A brief review will be given of recently published results which demonstrate that 1D, 2D, and 3D media, with the local strength of the self-repulsive cubic nonlinearity increasing rapidly enough toward the periphery, readily give rise to stable fundamental and vortical bright localized modes (with unitary and multiple topological charges), as well as their bound states. Such 1D and 2D nonlinearity landscapes can be created in optics and BEC, and the 3D setting is relevant to matter waves in BEC. In particular, stable 3D vortical solitons feature gyroscopic precession under the action of torque [1]. In addition to systematic numerical results for these soliton families, many results are obtained in an analytical form, with very good accuracy, by means of the Thomas-Fermi and variational approximations.
Host: Avahd Saxena avahd@lanl.gov