報(bào)告題目：Local and nonlocal integrable systems: Darboux transformation, localized wave solutions and spectral configuration

報(bào) 告 人：王鑫

報(bào)告時(shí)間：9月19日下午4:00-5:00

報(bào)告地點(diǎn)： 蓮花街校區(qū)惟德樓315會(huì)議室

報(bào)告人簡(jiǎn)介：

王鑫，男，中原工學(xué)院教授，碩士生導(dǎo)師。華東師范大學(xué)博士，鄭州大學(xué)博士后。2016年博士畢業(yè)于華東師范大學(xué)計(jì)算機(jī)科學(xué)與軟件工程學(xué)院，2018年直評(píng)副教授，2019年鄭州大學(xué)數(shù)學(xué)博士后流動(dòng)站出站，2024年直評(píng)教授。研究方向?yàn)椋悍蔷€(xiàn)性系統(tǒng)符號(hào)計(jì)算、可積系統(tǒng)及其應(yīng)用。主持完成2項(xiàng)國(guó)家自然科學(xué)基金項(xiàng)目：國(guó)家自然科學(xué)基金天元數(shù)學(xué)專(zhuān)項(xiàng)項(xiàng)目1項(xiàng)、國(guó)家自然科學(xué)基金青年項(xiàng)目1項(xiàng)。主持完成3項(xiàng)省級(jí)科研項(xiàng)目：中國(guó)博士后科學(xué)基金1項(xiàng)、河南省自然科學(xué)基金面上項(xiàng)目1項(xiàng)、河南省科技攻關(guān)項(xiàng)目1項(xiàng)。在SCI收錄的數(shù)學(xué)物理類(lèi)國(guó)際期刊如Physica D, Proceedings of the Royal Society A, Journal of Mathematical Physics, Chaos, Journal of Geometry and Physics, Physics of Fluids等上累計(jì)發(fā)表論文40余篇，SCI他引次數(shù)超500次。擔(dān)任SIGMA, Physica D, Physics Letters A, Nonlinear Dynamics, Applied Mathematics Letters, Wave Motion等十幾個(gè)SCI期刊審稿人。

報(bào)告內(nèi)容簡(jiǎn)介：This talk considers the constructions of Darboux transformation and localized wave solutions for the nonlocal integrable systems. The models mainly contain the reverse space nonlocal NLS equation, the space-shifted nonlocal PT symmetric NLS equation, the reverse space-time (RST) nonlocal short pulse equation, the complex RST nonlocal short pulse equation, the complex RST mKdV equation and the reverse time nonlocal coupled NLS equations. The differences of localized wave dynamics and eigenvalue configurations between these nonlocal integrable systems and their usual (local) counterparts are revealed.

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數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
2025年9月9日