Recently, we have proposed a {\em Euler-Lagrange transformation} for cellularautomata(CA) by developing new transformation formulas. Applying this method tothe Burgers CA(BCA), we have succeeded in obtaining the Lagrange representationof the BCA. In this paper, we apply this method to multi-value generalizedBurgers CA(GBCA) which include the Fukui-Ishibashi model and the quick-startmodel associated with traffic flow. As a result, we have succeeded inclarifying the Euler-Lagrange correspondence of these models. It turns out,moreover that the GBCA can naturally be considered as a simple model of amulti-lane traffic flow.
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机译：最近，我们通过开发新的变换公式为细胞自动机（CA）提出了{\ em Euler-Lagrange变换}。将这种方法应用于Burgers CA（BCA），我们已经成功获得了BCA的Lagrange表示。在本文中，我们将此方法应用于多值广义Burgers CA（GBCA），其中包括Fukui-Ishibashi模型和与交通流相关的快速启动模型。结果，我们成功地阐明了这些模型的欧拉-拉格朗日对应关系。事实证明，GBCA自然可以被视为多车道交通流的简单模型。
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