主题:Integrable deformed spatial discrete modified KdV equation with nonholonomic constraint
时间:11月16日 14:00
地点:腾讯会议:361-858-190
主持人:杨军副教授
报告人简介:
赵海琼,上海对外经贸大学教授,硕士生导师,兼任美国数学评论(Mathematical Reviews)评论员。2015-2016年在巴西纯数学与应用数学国家研究所和巴拉那联邦大学从事博士后研究工作;2020-2021年在美国布朗大学做访问学者。共发表被SCI检索论文30余篇。先后主持国家自然科学基金青年项目,国家自然科学基金天元项目,上海市自然科学基金面上项目,上海市教委科研创新一般项目,共5项。2014年获得校科研标兵奖。
讲座简介:
In this talk, a spatial discretization of the integrable deformed mKdV equation with nonholonomic constraint is investigated. The integrability of the discrete model is confirmed by showing the existence of Lax pair, Darboux transformations and multi-solitons. The theory of the system including Lax pair, Darboux transformations and explicit solutions systematically yields their continuous counterparts in the continuous limit. Finally, under the reduction, the deformed model gives an integrable discretization of the combined mKdV and Sine-Gorden equation.