Academy of Mathematics and Systems Science, CAS Colloquia & Seminars | Speaker: | 张健教授,电子科技大学 | Inviter: | | Title: | High-speed excited multi-solitons in competitive power nonlinear Schr ?odinger equations-(II) | Time & Venue: | 2021.04.17 15:30-16:20 N226 | Abstract: | This talk deals with the competitive power nonlinear Schrodinger equation, which includes both focusing nonlinear power and defocusing nonlinear power. We construct high-speed excited multi-solitons of the equation in terms of the compactness method. Co?te and Coz’s results concerning with high-speed excited multi-solitons are limited to focusing nonlinear Schrodinger equations. Our results first give existence of high-speed excited multi-solitons to competitive power nonlinear Schrodinger equations, which extend the focusing to both focusing and defocusing in essence. | | | |