The Cauchy problem for a fifth order KdV equation in weighted Sobolev spaces

Eddye Bustamante, José Jiménez, Jorge Mejía

In this work we study the initial value problem (IVP) for the fifth order KdV equations, \begin{align*} \partial_{t}u+\partial_{x}^{5}u+u^k\partial_{x}u=0,\text{} & \quad x,t\in \m…