# Eigen Equation of the Nonlinear Spinor

## TL;DR

This paper derives a simplified eigen equation for nonlinear spinor fields and proposes a numerical solution scheme, facilitating better theoretical understanding and computational approaches for elementary particle behavior.

## Contribution

It introduces a simplified form of the nonlinear spinor eigen equation and a new numerical solution scheme, enhancing analytical and computational methods.

## Key findings

- Simplified eigen equation with elegant structure
- Proposed numerical solution scheme for nonlinear spinor
- Facilitates theoretical analysis and computation

## Abstract

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