Zhaosheng Feng 学术报告

发布时间:2020年08月28日 作者:陈海波   消息来源:诚博国际官网登录    阅读次数:[]

报告题目:Bounded Wave Solutions to Degenerate Differential Equations
报告地点:腾讯会议 ID:429527366
报告人:Zhaosheng Feng 教授,School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley
报告摘要:There are many well-known techniques for obtaining exact solutions of differential equations, but most of them are merely special cases of a few powerful symmetry methods. These methods can be applied to nonlinear differential equations of an unfamiliar type and do not rely on particular tricks. In this talk, we give a straightforward introduction and applications of symmetry methods. For a higher-order ODE, a correspondence between first integrals and invariance under point symmetries holds only when the ODE has a variational principle. If a system of PDEs is invariant under a Lie group of point transformations, one can find, constructively, special solutions, called similarity solutions or invariant solutions that are invariant under a subgroup of the full group admitted by the system. We will illustrate these techniques to investigate a degenerate parabolic system which arises in biological population, and obtain bounded wave solutions under certain conditions


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