报告题目: Solutions and continuum limits to nonlocal discrete sine-Gordon equations: bilinearization reduction method
报告人：赵松林
报告简介：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.
报告时间：2023年04月14日 13:30
报告人简介：赵松林，浙江工业大学副教授，博士生导师。2012年博士毕业于上海大学应用数学专业。2012.03-2012.08曾作为联合培养博士生赴加拿大Brock大学学习。主要研究方向为可积系统及其应用。先后主持国家自然科学基金2项，浙江省自然科学基金一般项目1项。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, 中国科学：数学等应用数学和数学物理期刊上发表学术论文50余篇。入选浙江工业大学2019年青年英才支持计划和2020年数理青年英才支持计划。