Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Colloquia Archive 
 Postdoc Seminars Archive 
 Quantum Lunch 
 CMS Colloquia 
 Q-Mat Seminars 
 Q-Mat Seminars Archive 
 Kac Lectures 
 Dist. Quant. Lecture 
 Ulam Scholar 
 Summer Research 
 Student Application 
 Past Visitors 
 PD Travel Request 
 History of CNLS 
 Maps, Directions 
 CNLS Office 
Monday, April 21, 2014
3:00 PM - 4:00 PM
CNLS Conference Room (TA-3, Bldg 1690)


One- and multidimensional bright solitons and vortices supported by spatially modulated self-defocusing

Boris Malomed
Tel Aviv University

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