Stochastic Extended Korteweg-De Vries Equation

Abstract

In the paper, we consider stochastic Korteweg-de Vries - type equation. We give sufficient conditions for the existence and uniqueness of the local mild solution to the equation with additive noise. We discuss the possibility of the globalization of mild solution, as well.

Keywords

• extended kdv equation
• extended kdv
• mild solution
• near identity transformation