Mathematical Sciences Department Joint Analysis/PDE & Numerical Methods Seminar - Zhiyuan Zhang, Northeastern University
11:00 am to 12:00 pm
Mathematical Sciences Department
Joint Numerical Methods and Analysis/PDE Seminar
Speaker: Zhiyuan Zhang, Northeastern University
Thursday, May 1, 2025
11:00 am - 12:00 pm
Stratton Hall 313
Title: Dynamics of Solitary Waves
Abstract: Solitary waves arise as exact coherent structures in a range of nonlinear wave equations, including the nonlinear Schrödinger, Korteweg–de Vries, and Benjamin–Ono equations. These equations have broad applications in areas such as water wave theory, plasma physics, and condensed matter physics. When certain types of perturbations are introduced, the solitary wave retains its overall form while its shape and position adjust to accommodate the new conditions. In this talk, I will present some theoretical results on the modulation of solitary wave profiles under such perturbations, supported by numerical simulations that illustrate and validate these findings.