Lie symmetry analysis is achieved on a new system of coupled KdV equations with fractional order, which arise in the analysis of several problems in theoretical physics and numerous scientific phenomena. We determine the reduced fractional ODE system corresponding to the governing factional PDE system.

In addition, we develop the conservation laws for the system of fractional order coupled KdV equations.

中文翻译：

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分数阶耦合KdV系统的Lie对称性约简和守恒律

在具有分数阶的耦合KdV方程的新系统上实现了Lie对称性分析，这是在分析理论物理学中的若干问题和众多科学现象时出现的。我们确定与控制派系PDE系统相对应的简化分数ODE系统。

此外，我们为分数阶耦合KdV方程组建立了守恒律。