Darboux polynomials and applications to nonlinear differential equations

Zhaosheng Feng（冯兆生）

School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, Texas 78539, USA

Abstract： In this talk, we propose a new systematic approach to find Darboux polynomials of nonlinear differential systems. As applications, some new Darboux polynomials of nonlinear models arising in physics, magnetohydrodynamics, neural networks and fluid fluids are investigated by our 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.

邀请人：马如云教授

会议时间：2023/03/14 10:00-12:00 (GMT+08:00) 中国标准时间 - 北京

腾讯会议：851-439-668

个人简介：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，和八个国际SCI杂志的编委及AIMS应用数学系列丛书的编委。