Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	许韬教授，中国石油大学（北京）
Inviter:
Title:	New soliton solutions of the nonlocal nonlinear Schr?dinger equation: Asymptotic analysis and soliton interactions
Time & Venue:	2021.10.22 09:30-11:30 N402
Abstract:	In this talk, we will report some progress on new soliton solutions of the nonlocal nonlinear Schr?dinger (NNLS) equation. For the defocusing case, we derive the determinant representation of Nth-order rational solutions and study their asymptotic behavior by some asymptotic balance technique. It turns out that the asymptotic solitons are localized in the straight or algebraic curves, and the exact solutions approach the curved asymptotic solitons with a slower rate than the straight ones. Moreover, we reveal that all the rational solutions exhibit five different types of soliton interactions, and that the curved asymptotic solitons may have a slight difference for their velocities between at t and -t. On the other hand, we obtain new soliton solutions of the focusing NNLS equation over the nonzero background. Also, those solutions can display abundant interactions, in which each soliton could be either the dark or antidark one, and even vanish asymptotically as \|t\|→∞.