Faddeev模型的求解及数值模拟

Solution and Numerical Simulation of Faddeev Model

通过构造合适的矢量,对Faddeev模型的场方程进行了化简,使用Mathematica软件对模型中的非线性方程进行了数值求解.为方便使用,还对大量的数值解进行了有效拟合.采用拟合的解析解,得到了此类简化后的场方程的三分量的波动解,数值模拟给出了此类解的外形特征.

The field equation of Faddeev model is simplified by constructing suitable vectors.The nonlinear partial differential equations of the model are solved numerically by using software Mathematica. The massive numerical solutions are fitted effectively for convenient use. The fitted analytical solutions are utilized which result in three-component wave solutions of the simplified field equation,and the behaviors of these solutions are shown by numerical simulations.