Geometry Seminar

Date: April 12, 2024

Time: 4:00PM - 5:00PM

Location: BLOC 302

Speaker: Brandon Ashley, Southern Oregon University

Title: A Group-Theoretic Approach to Darboux Integrable $f$-Gordon Equations

Abstract: Classically, a partial differential equation is said to be Darboux integrable if its general solution can be found by only solving a system of ordinary differential equations. In this talk, we describe a transformation group-theoretic approach to the study of Darboux integrable equations and highlight how this approach can be used to solve the equivalence problem for so-called $f$-Gordon equations of the form $u_{xy} = f(x,y,u,u_x,u_y)$.