On determination of the source term of a modified KdV equation

Abstract

We study an inverse problem to identify the source term depending on x of a modified KdV equation. In order to recover source term, we define an inverse problem subject to an overdetermination condition. We converted this inverse problem to an operator equation. The existence and uniqueness of this operator equation is investigated

Keywords

• inverse problem
• kdv equation
• source term identification
• overdetermination condition
• operator equation