On the non-Lie reduction of the nonlinear Dirac equation

  • W. I. FUSHCHYCH, R. Z. ZHDANOV
  • Published 2004

Abstract

The method of construction of exact solutions of nonlinear spinor equations based on their conditional (non-Lie) symmetry is suggested. With the help of this method new ansätze that reduce the nonlinear Poincaré-invariant Dirac equation to ordinary differential equations are constructed. The new family of exact solutions of the nonlinear Dirac equation with… (More)

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