Energy-dependent reflectionless inverse scattering (Q2135409)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Energy-dependent reflectionless inverse scattering |
scientific article |
Statements
Energy-dependent reflectionless inverse scattering (English)
0 references
6 May 2022
0 references
Summary: We develop a reflectionless inverse scattering theory regarding an energy-dependent Schrödinger equation. A necessary and sufficient condition for scattering data to recover a pair of potentials of the equation is obtained, based upon a complex generalization of a representation of reflectionless potentials via the Hirota transformation. As an application, an inverse scattering method is established for finding \(N\)-soliton solutions of a nonlinear evolution system that is an isospectral flow of the energy-dependent Schrödinger equation.
0 references
inverse scattering theory
0 references
reflectionless potential
0 references
energy-dependent Schrödinger equation
0 references
nonlinear evolution system
0 references
soliton solution
0 references
0 references
