# Dynamics of electrons and explicit solutions of Dirac–Weyl systems

@article{Sakhnovich2016DynamicsOE, title={Dynamics of electrons and explicit solutions of Dirac–Weyl systems}, author={Alexander L. Sakhnovich}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2016}, volume={50} }

Explicit solutions of the Dirac–Weyl system, which are essential in graphene studies, are constructed using our recent approach to the construction of solutions of dynamical systems. The obtained classes of solutions are much wider than the ones which have been considered before. It is proved that neither the constructed potentials nor the corresponding solutions have singularities. Various examples are provided.

## 9 Citations

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Our GBDT version of B\"acklund-Darboux transformation is applied to the construction of wide classes of new explicit solutions of self-adjoint and skew-self-adjoint Dirac systems, dynamical Dirac and…

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We apply the GBDT version of the Backlund-Darboux transformation to the nonlocal NLS (focusing and defocusing cases). The matrix case is included and solutions in the form of rectangular $m_1 \times…

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We apply the GBDT version of the Bäcklund–Darboux transformation to the nonlocal NLS (focusing and defocusing cases). The matrix case is included and solutions in the form of rectangular matrix…

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