Inverse scattering problem for the third-order equation on the line

Tuncay Aktosun, Ivan Toledo, Mehmet Unlu

We consider the third-order linear differential equation $$\frac{d^3\ddot{I}ˆ}{d{x}^3}+Q(x)\frac{d\ddot{I}ˆ}{dx}+P(x)\ddot{I}ˆ=k^3\ddot{I}ˆ,x\in \mathbb{R},$$ where the comp…