报告题目：The Method of Characteristics: From First Integrals of ODE to Initial Value Problems of Wave Equations

报 告 人：王耀辉 (Undergraduate Student @JSU Jiangsu University)

报告时间：2026年4月30日（星期四）9:00—9:45

报告地点：6776永利集团114（小报告厅）      

校内联系人：廖娴 教授       联系方式：84708351-8510

Abstract: In this talk, we first introduce the concept of first integrals of ordinary differential equations and their connection with first-order linear partial differential equations. We then present the method of characteristics for solving first-order linear PDE, which reduces PDE problems to a system of ODE along characteristic curves. Furthermore, we extend this method to the initial value problem of the one-dimensional linear wave equation and derive the d'Alembert formula. We illustrate the geometric meaning of characteristics. This talk shows how the method of characteristics serves as a unified tool in analyzing several basic types of partial differential equations.