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王灯山 教授:Far-field behavior for multiple-pole solitons of the focusing NLS equation

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 王灯山 教授，北京师范大学数学科学学院
Inviter:
Title:
 Far-field behavior for multiple-pole solitons of the focusing NLS equation
Time & Venue:
 2021.11.17 14:00-15:00 腾讯会议号：729 524 714
Abstract:
 The integrable focusing nonlinear Schr?dinger equation admits soliton solutions whose associated spectral data consist of a single pair of conjugate poles of arbitrary order. We study families of such multiple-pole solitons generated by Darboux transformations as the pole order tends to infinity. We show that in an appropriate scaling, there are four regions in the space-time plane where solutions display qualitatively distinct behaviors: an exponential-decay region, an algebraic-decay region, a non-oscillatory region, and an oscillatory region. Using the nonlinear steepest-descent method for analyzing Riemann-Hilbert problems, we compute the leading-order asymptotic behavior in the algebraic-decay, non-oscillatory and oscillatory regions.

相关话题/科学学院 数学 北京师范大学 腾讯 会议

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