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Breather solutions for the nonlinear wave equation in inhomogeneous media
时间  Datetime
2019-07-25 10:00 — 11:00 
地点  Venue
Middle Lecture Room(703)
报告人  Speaker
Shuguan Ji
单位  Affiliation
Jilin University & Northeast Normal University
邀请人  Host
Kaizhi WANG
报告摘要  Abstract

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.