Stationary mKdV hierarchy and integrability of the Dirac equations by quadratures

Ihor Revenko; Kyiv); Renat Zhdanov; Wilhelm Fushchych (Institute of Mathematics

arxiv: solv-int/9705011 · v1 · submitted 1997-05-17 · solv-int · nlin.SI

Stationary mKdV hierarchy and integrability of the Dirac equations by quadratures

Renat Zhdanov , Ihor Revenko , Wilhelm Fushchych (Institute of Mathematics , Kyiv) This is my paper

classification solv-int nlin.SI

keywords diracequationshierarchymkdvquadraturesstationaryequationestablish

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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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Stationary mKdV hierarchy and integrability of the Dirac equations by quadratures

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