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Stationary mKdV hierarchy and integrability of the Dirac equations by quadratures

Renat Zhdanov·Ihor Revenko·Wilhelm Fushchych
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Abstract

Using the Lie's infinitesimal method we establish that the Dirac equation in one variable is integrable by quadratures if the potential V(x) is a solution of one of the equations of the stationary mKdV hierarchy.

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Renat Zhdanov, Ihor Revenko, Wilhelm Fushchych. 1997-05-17. Stationary mKdV hierarchy and integrability of the Dirac equations by quadratures. https://doi.org/10.1016/s0375-9601(98)00114-5

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