The symmetry classifications of two fractional higher dimensional nonlinear systems, namely, (3 + 1)-dimensional incompressible non-hydrostatic Boussinesq equations and (3 + 1)-dimensional Boussinesq equations with viscosity, are discussed. Both the fractional Boussinesq equations are considered to have derivatives with respect to all variables of fractional type, and some exact solutions are reported along with graphical illustrations.

中文翻译：

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（3 +1）维分数阶非线性不可压缩非静力学耦合Boussinesq方程的对称分类和精确解

讨论了两个分数阶高维非线性系统的对称分类，即（3 +1）维不可压缩的非静力Boussinesq方程和（3 +1）维具有粘性的Boussinesq方程。两个分数Boussinesq方程都被认为对分数类型的所有变量都具有导数，并且一些精确解随图形说明一起报告。