Pure and applied reflections on the reduced Maxwell-Bloch system
Publisher
The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
We consider a reduced Maxwell-Bloch system with permanent dipole, and obtain a Lax pair representation, the Backlund transformation and the solitons solutions. Then we show, that this particular reduced Maxwell-Bloch system can be viewed as one among an infinite hierarchy of commuting systems. We obtain analytical formulae for the hamiltonians of each system in the hierarchy, and establish the conservation laws that govern the dynamics, and coupling between the potentials of the reduced Maxwell-Bloch system, and the potentials of the higher systems.Type
textDissertation-Reproduction (electronic)
Degree Name
Ph.D.Degree Level
doctoralDegree Program
Graduate CollegeMathematics