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2020-07-18,许韬 教授,Rational solutions of the defocusing nonlocal nonlinear Schrödinger equation: Asymptotic analysis and soliton interactions

学术报告

 目:

Rational solutions of the defocusing nonlocal nonlinear Schrödinger equation: Asymptotic analysis and soliton interactions

报告人:

许韬 教授,中国石油大学

 要:

We study the asymptotic behavior and soliton interactions for the rational solutions of the defocusing nonlocal nonlinear Schrödinger equation. Based on an improved asymptotic analysis method, we derive the explicit expressions of all asymptotic solitons of the rational solutions with the order 1N4. It turns out that the asymptotic solitons are localized in the straight or algebraic curves, and the exact solutions approach the curved asymptotic solitons with a slower rate than the straight ones. Moreover, we find that all the rational solutions exhibit just five different types of soliton interactions, and that the interacting solitons are divided into two halves with each having the same amplitudes. Particularly for the curved asymptotic solitons, there exists a slight difference for their velocities between at t and -t. In addition, we reveal that the soliton interactions in the rational solutions with N2 are stronger than those in the exponential and exponential-and-rational solutions. 

 间:

718日 星期六 14:00--15:30

 式:

腾讯会议

会议 ID484 264 895

会议密码:0718

邀请人:

田凯 副教授