报告题目:First Integral and applications to nonlinear differential equations
报 告人:冯兆生教授(美国德克萨斯大学RGV分校)
报告时间:2023年5月8日(星期一)16:00-17:30
报告地点:腾讯会议ID:196-814-179
邀 请人:杨启贵教授
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数学学院
2023年5月4日
报告摘要:In this talk, we propose a systematic approach to find the first integrals and Darboux polynomials of nonlinear differential systems. As applications, some new Darboux polynomials of nonlinear systems arising in physics, biology, engineering, and fluid mechanics are investigated by this approach. Particularly, a nonintegrable three-dimensional system with non-chaotic behaviors is introduced and traveling wave solutions of some partial differential equations are presented and classified.
报告人简介:冯兆生,美国德克萨斯大学RGV分校Carlos and Stephanie Manrique de Lara讲席教授。主要研究方向是非线性分析,动力系统,数学物理问题,数值计算与模拟等,曾于2015和2021年两次获得德克萨斯大学年度杰出科研成就奖。现任国际知名学术期刊CNSNS的共同主编和EJDE的执行主编,和多个国际SCI杂志的编委及AIMS应用数学系列丛书的编委。