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How to effectively solve the eigen solutions of the nonlinear spinor fieldequation coupling with some other interaction fields is important to understandthe behavior of the elementary particles. In this paper, we derive a simplifiedform of the eigen equation of the nonlinear spinor, and then propose a schemeto solve their numerical solutions. This simplified equation has elegant andneat structure, which is more convenient for both theoretical analysis andnumerical computation.

Eigen Equation of the Nonlinear Spinor