【报告题目】 Whitham modulation theory for evolution of initial discontinuity of some integrable nonlinear wave equations
【报 告 人】王灯山，北京师范大学 教授
【会 议 ID】腾讯会议 493 678 723
The complete classification of solutions to the integrable nonlinear wave equations with discontinuous initial data is considered by Whitham modulation theory. We first report our work on the complete classification of solutions to the defocusing complex modified Korteweg-de Vries equation with the step-like initial condition. Then introduce our recent exploration on the Jaulent-Miodek equation with step-like initial data. It is noted that the direct numerical simulations of the defocusing complex modified Korteweg-de Vries equation and Jaulent-Miodek equation are agreed well with the solutions corresponding to Whitham modulation theory, which verifies the validity of results from Whitham modulation theory.