Gadi FIBICH - Necklace solitary waves on bounded domains
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 03/06/2016

The critical power for collapse appears to place an upper bound on the amount of power  that  can  be  propagated  by intense  laser beams.  In  various  applications, however, it is desirable exceed this limit and deliver more power. In this talk I will present new solitary waves of the two-dimensional nonlinear Schrodinger equation on  bounded  domains,  which  have  a  «necklace» structure.  I  will  consider  their structure,  stability,  and  how  to  compute  them.  In  particular,  I  will  show  that  these 
solitary  waves  can  stably  propagate  more  than  the  critical  pohe critical power for collapse.