SEMINARS
Breather solutions for the nonlinear wave equation in inhomogeneous media

2019-07-25　10:00 — 11:00

Middle Lecture Room(703)

Shuguan Ji

Jilin University & Northeast Normal University

Kaizhi WANG

Breather solutions are quite rare for the nonlinear wave equations. Up to rescaling, the only spatially homogeneous model known to admit such solutions is the sine-Gordon equation. In contrast, it is expected to be different for the nonlinear wave equation in inhomogeneous media modelling by $\rho(x)u_{tt}-(\mu(x)u_x)_x=f(x,u)$. With this spatially inhomogeneous model, for the first time we discover the existence of many breather solutions. This is a joint work with Professor C.E. Wayne.