Speaker：Liming Ling（South China University of Technology）

Time：2022-12-16, 10:00

Location：Tencent Meeting ID：466-005-8776（No Password）

Abstract:

In this talk, we will introduce the exact solutions of sine-Gordon equation and their derivatives expressed in theta functions under the backgrounds of the librational and rotational waves. The multi elliptic-localized solutions, including the multi elliptic-kink solutions, multi elliptic-breather solutions, and multi elliptic-kink-breather solutions, are expressed in Pfaffian form. Furthermore, the asymptotic analysis of the multi elliptic-localized solutions is provided with the aid of theories of theta functions. (This work is joint with my PhD student Dr. Xuan Sun)