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 $$\frac{d^3\psi }{d{x}^3}+Q(x)\frac{d\psi }{dx}+P(x)\psi =k^3\psi ,x\in \mathbb{R},$$ where the complex-…