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PublisherThe University of Arizona.
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AbstractWe 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.
Degree ProgramGraduate College