Stationary mKdV hierarchy and integrability of the Dirac equations by quadratures
Renat Zhdanov, Ihor Revenko, Wilhelm Fushchych
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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