Virginia TechKlaus, MartinShaw, John Kenneth2014-01-172014-01-172002-03Klaus, M ; Shaw, JK, Mar 2002. "Purely imaginary eigenvalues of Zakharov-Shabat systems," PHYSICAL REVIEW E 65(3) Part 2B: 036607. DOI: 10.1103/PhysRevE.65.0366071539-3755http://hdl.handle.net/10919/24884Zakharov-Shabat systems with single-hump and real, but not necessarily symmetric, potentials are shown to have purely imaginary eigenvalues only. Coupled with examples of double-hump potentials with nonimaginary eigenvalues, this establishes that confinement of Zakharov-Shabat eigenvalues to the imaginary axis is a characteristic of potentials whose energy is concentrated in a single region of the time axis.application/pdfenIn CopyrightpropagationpulsesPhysicsArticle - Refereedhttp://link.aps.org/doi/10.1103/PhysRevE.65.036607https://doi.org/10.1103/PhysRevE.65.036607