Abstract
A method to obtain a new class of discrete eigenfunctions and associated real, nonsingular, decaying, “reflectionless” potentials to the time dependent Schrödinger equation is presented. Using the inverse scattering transform, related solutions of the Kadomtsev-Petviashvili equation are found. The eigenfunctions have poles of order , in the complex plane and are also characterized by an index, or “charge,” which is obtained as a constraint in the theory.
- Received 8 July 1996
DOI:https://doi.org/10.1103/PhysRevLett.78.570
©1997 American Physical Society