报告题目：Dynamic mechanism of nonlinear waves for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation

主讲人：武晓昱 讲师（北京林业大学）

报告时间：2024年06月02日上午09:10-09:50

报告地点：数理楼 224

报告摘要：Under investigation in this paper is a (3+1)-dimensional generalized variable-coefficient shallow water wave equation, which can be used to describe the flow below a pressure surface in oceanography and atmospheric science. Employing the Kadomtsev-Petviashvili hierarchy reduction, we obtain the breather and lump solutions in terms of Grammian.We investigate the generation mechanism and conversion of the breathers, lumps and rogue waves.We find that the breather is produced by the superposition of three parts: The soliton part, the periodic wave part and the background part. The angle between the soliton part and the periodic wave part affects the shape of the breather. Considering the influences of the variable coefficients, we observe the breathers propagating on the periodic backgrounds, with double peaks and the breathers propagating periodic with time, respectively. Taking the long-wave limits, we get the rational solutions which describe the lumps.

个人简历：武晓昱，2019年博士毕业于北京邮电大学，现任北京林业大学信息与计算科学教研室副主任，数学建模竞赛负责人。获博士后面上资助一项，参与国家自然科学基金重点两项，发表10余篇SCI论文。