Speaker: Prof.Shihui Zhu（Sichuan Normal University）

Title: Orbital Stability of Standing Waves for the BNLS with mixed dispersions

Time: Mon, Oct.21 2019,AM:10:00-11:00

Location: Room 4318, Building No.4, Wushan Campus

Abstract：

     In this paper, we study the standing wave solutions for the bi-harmonic nonlinear Schrodinger equation with a Laplacian term (BNLS), modelling the propagation of intense laser beams in a bulk medium with Kerr nonlinearity. We first study the stability of standing waves for (BNLS) with the negative coefficient of second-order dispersion term, and find a lower bound of the coefficient ensuring the existence of orbitally stable standing waves. This shows that the sign of the second-order dispersion has crucial effect on the existence of orbitally stable standing waves for the BNLS with mixed dispersions.