Scattering for the quintic generalized Benjamin-Bona-Mahony equation

Gong Chen, Yingmo Zhang

We consider the quintic generalized Benjamin-Bona-Mahony equation $$u_t-u_{xxt}+{\partial }_x(u+u^5)=0,(t,x)\in {\mathbb{R}}_{+}\times \mathbb{R}.$$ Using the spa…