Speaker: Dmitry Shepelsky (National Academy of Sciences of Ukraine)
Title: Integrable nonlinear partial differential equations and Riemann-Hilbert problems II
Abstract: This lecture explains how the Cauchy problem for nonlinear PDEs can be represented through a suitable Riemann-Hilbert problem. The nonlinear Schrödinger equation is used as a model example, including soliton solutions, regular and irregular RH problems, and the nonlinear steepest descent method.