On the elliptic-localized solutions of the sine-Gordon equation
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：凌黎明（华南理工大学）
：2022-12-16 10:00
：腾讯会议ID：466-005-8776（无密码）
报告人：凌黎明（华南理工大学）
时 间：12月16日上午10:00-11:30
地 点：腾讯会议ID：466-005-8776（无密码）
内容摘要:
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)
个人简介：
凌黎明，华南理工大学数学学院教授，博士生导师，国家优秀青年基金获得者；长期从事非线性可积系统的研究，在可积系统“怪波”理论的发展中作出了一系列工作；在Duke Mathematical Journal，Physical Review E，Physica D，Studies in Applied Mathematics，Nonlinearity等杂志发表多篇学术论文，合作出版专著一部；主持国家自然科学基金项目3项；曾访问复旦大学上海数学中心、美国密西根大学数学系。
联系人：李思泰
