The Cauchy problem for the improved Boussinesq equation with spatially quasi-periodic initial data

Zhiqiang Wan, Wenji Wu, Heng Zhang

We study the Cauchy problem for the improved Boussinesq equation \[ u_{tt}-u_{xx}-u_{xxtt}-(u^2)_{xx}=0 \] on the real line with spatially quasi-periodic initial data. For a non-re…