Long-Time Dynamics of KdV Solitary Waves over a Variable Bottom

S. I. Dejak, I. M. Sigal

We study the variable bottom generalized Korteweg-de Vries (bKdV) equation dt u=-dx(dx^2 u+f(u)-b(t,x)u), where f is a nonlinearity and b is a small, bounded and slowly varying fun…