# Nonlinear Dirac equation solitary waves in external fields.

@article{Mertens2012NonlinearDE, title={Nonlinear Dirac equation solitary waves in external fields.}, author={Franz G Mertens and Niurka R. Quintero and Fred Cooper and Avinash Khare and Avadh B Saxena}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2012}, volume={86 4 Pt 2}, pages={ 046602 } }

We consider nonlinear Dirac equations (NLDE's) in the 1+1 dimension with scalar-scalar self-interaction g2/κ+1(Ψ[over ¯]Ψ)κ+1 in the presence of various external electromagnetic fields. We find exact solutions for special external fields and we study the behavior of solitary-wave solutions to the NLDE in the presence of a wide variety of fields in a variational approximation depending on collective coordinates which allows the position, width, and phase of these waves to vary in time. We find…

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