報告題目: Solutions and continuum limits to nonlocal discrete sine-Gordon equations: bilinearization reduction method
報告人：趙松林
報告簡介：In this talk, we investigate local and nonlocal reductions of a discrete negative order Ablowitz-Kaup-Newell-Segur equation. By the bilinearization reduction method, we construct exact solutions in double Casoratian form to the reduced nonlocal discrete sine-Gordon equations. Then, nonlocal semi-discrete sine-Gordon equations and their solutions are obtained through the continuum limits. The dynamics of soliton solutions are analyzed and illustrated by asymptotic analysis. The research ideas and methods in this talk can be generalized to other nonlocal discrete integrable systems.
報告時間：2023年04月14日 13:30
報告人簡介：趙松林，浙江工業大學副教授，博士生導師。2012年博士畢業於上海大學應用數學專業。2012.03-2012.08曾作為聯合培養博士生赴加拿大Brock大學學習。主要研究方向為可積系統及其應用。先後主持國家自然科學基金2項，浙江省自然科學基金一般項目1項。已在Stud. Appl. Math., SIGMA, J. Nonlinear Math. Phys., J. Differ. Equ. Appl., Theor. Math. Phys., Phys. D, Rev. Math. Phys., Chin. Ann. Math. Ser. B, 中國科學：數學等應用數學和數學物理期刊上發表學術論文50余篇。入選浙江工業大學2019年青年英才支持計劃和2020年數理青年英才支持計劃。