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arxiv: hep-th/0507192 · v1 · submitted 2005-07-20 · ✦ hep-th

Darboux Transformation for Dirac Equations with (1+1) potentials

classification ✦ hep-th
keywords diracequationspotentialsdarbouxsolutionstransformationadiabaticconnection
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We study the Darboux transformation (DT) for Dirac equations with (1+1) potentials. Exact solutions for the adiabatic external field are constructed. The connection between the exactly soluble Dirac (1+1) potentials and the soliton solutions of the Davey--Stewartson equations is discussed.

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