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2020-07-25,陈勇 教授,Eigenfunction symmetry of the Korteweg–de Vries equation

学术报告

 目:

Eigenfunction symmetry of the Korteweg–de Vries equation

报告人:

陈勇 教授,华东师范大学

 要:

In nonlinear science, it is very difficult to find exact interaction solutions among solitons and other kinds of complicated waves such as cnoidal waves and Painlevé waves. Actually, even if for the most well-known prototypical models such as the Kortewetde Vries (KdV) equation and the Kadomtsev-Petviashvili (KP) equation, this kind of problem has not yet been solved. In this talk, the explicit analytic interaction solutions between solitary waves and cnoidal waves are obtained through the localization procedure of nonlocal symmetries which are related to Darboux transformation for the well-known KdV equation. The same approach also yields some other types of interaction solutions among different types of solutions such as solitary waves, rational solutions, Bessel function solutions, and or general Painlevé II solutions. 

 间:

725日 星期六 14:00—18:00

 式:

腾讯会议

会议 ID919 591 624

会议密码:0725

邀请人:

刘青平 教授