Using the algebraic approach Lie symmetries, we spin new infinitesimals for the (4+1) Fokas equation that admits an infinite number of possibilities for its Lie vectors. Through the commutation product between the unknown vectors, we generate a system of ordinary differential equations (ODEs). By solving this system, we explore these infinitesimals. Through four stages of the similarity reduction using double and triple combinations between the examined vectors, we explore new soliton solutions. These results are simulated through three and two-dimensional plots that illustrates the dynamical behavior of these solutions is presented for different values of the free valued function at different values of time. A comparison with other results is presented.

使用代数方法Lie对称性，我们为（4 + 1）Fokas方程旋转了新的无穷小，该方程允许其Lie向量具有无限数量的可能性。通过未知向量之间的换乘积，我们生成了一个常微分方程（ODE）系统。通过解决这个系统，我们探索了这些无穷小。通过使用检查的向量之间的双重和三次组合的四个相似度降低阶段，我们探索了新的孤子解。这些结果通过3维和2维图进行了仿真，这些图说明了针对不同时间值的自由值函数的不同值呈现的这些解决方案的动力学行为。提出了与其他结果的比较。