题目:Superregular breathers and general rogue waves in the scalar and vector nonlinear Schrödinger equations
摘要:In this talk, general higher-order freak wave solutions of the scalar and coupled nonlocal nonlinear Schrodinger equations can be calculated theoretically via a Darboux transformation and a separation of variable technique. This family of solutions are given in separation of variables form. Moreover, in order to understand these obtained solutions better, the main characteristics of these obtained freak wave solutions are discussed clearly and conveniently. They show that the dynamics of these solutions exhibits rich patterns, most of which have no counterparts in the corresponding local equation. Finally, with the dressing method and an orthogonal transformation, we generate the multibreather solutions to the Manakov model.
报告人简介:王秀彬,男,讲师,博士毕业于永利集团304am登录应用数学专业,现就职于中国矿业大学永利集团304am登录, 硕士生导师。目前主持国家自然科学基金青年项目1项及多个校级项目,以第一作者身份在Proceedings of the American Mathematical Society、Journal of the Physical Society of Japan、Physica D: Nonlinear Phenomena、Journal of Mathematical Physics、《中国科学:数学》 等国内外知名学术期刊上发表学术性论文40余篇,并多次被评为高被引学者。
报告时间:2023.09.14 9:00-12:00
腾讯会议:887-457-286
密码:发邮件至fuzw@hit.edu.cn获取