We perform Noether classification of the generalised system of coupled (2 + 1)-dimensional hyperbolic equations, namely $u_{\mathit{tt}}-u_{\mathit{xx}}-u_{\mathit{yy}}+P(v)=0,v_{\mathit{tt}}-v_{\mathit{xx}}-v_{\mathit{yy}}+Q(u)=0$. Besides this we compute conservation laws corresponding to cases that have Noether symmetries for the underlying coupled hyperbolic system.

中文翻译：

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广义耦合双曲系统的拉格朗日公式

我们执行耦合（2 +1）维双曲方程的广义系统的Noether分类，即 ${ü}_{\mathit{tt}}--{ü}_{\mathit{xx}}--{ü}_{\mathit{y}}+P（v）=0，v_{\mathit{tt}}--v_{\mathit{xx}}--v_{\mathit{y}}+问（ü）=0$。除此之外，我们还计算了与基础耦合双曲型系统具有Noether对称性的情况相对应的守恒定律。