飞腾彩票

当前位置: 网站首页 >> 学术动态 >> 正文
2020-07-11,耿献国 教授,A vector general nonlinear Schrödinger equation with (m+n) components

学术报告

 目:

A vector general nonlinear Schrödinger equation with (m+n) components

报告人:

耿献国 教授,郑州大学 数学与统计学院

 要:

A vector general nonlinear Schrödinger equation with (m+n) components is proposed, which is a new integrable generalization of the vector nonlinear Schrödinger equation and the vector derivative nonlinear Schrödinger equation. Resorting to the Riccati equations associated with the Lax pair and the gauge transformations between the Lax pairs, a general N-fold Darboux transformation of the vector general nonlinear Schrödinger equation with (m+n) components is constructed, which can be reduced directly to the classical N-fold Darboux transformation and the generalized Darboux transformation without taking limits. As an illustrative example, some exact solutions of the two-component general nonlinear Schrödinger equation are obtained by using the general Darboux transformation, including a first-order rogue-wave solution, a fourth-order rogue-wave solution, a breather solution, a breather–rogue-wave interaction, two solitons and the fission of a breather into two solitons.

 间:

711日 星期六 14:00—15:30

 式:

腾讯会议

会议 ID608 967 381

会议密码:0711

邀请人:

刘青平 教授