Single and Multi-Soliton Solutions for a Spectrally Deformed Set of Maxwell-Bloch Equations

Abstract

A specific spectral deformation of the Maxwell-Bloch equations of nonlinear optics is investigated. The Darboux transformation formalism is adapted to this spectrally deformed system to construct its single and multi-soliton solutions. The Effects of spectral deformation on soliton behaviour is studied.

Keywords

• maxwell-bloch equations
• solitons
• spectral deformation
• darboux transformations
• lax pair
• zero curvature representation
• soliton collision