In this study, it is the first time that conformable Laplace decomposition method (CLDM) is applied to fractional Newell-Whitehead-Segel (NWS) equation which is one of the most significant amplitude equations in physics. The method consists of the unification of conformable Laplace transform and Adomian decomposition method (ADM) and it is used for finding approximate analytical solutions of linear-nonlinear fractional PDE’s. The results show that this CLDM is quite powerful in solving fractional PDE’s.

中文翻译：

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相容拉普拉斯分解方法在分数阶Newell-Whitehead-Segel方程中的新应用

在这项研究中，这是首次将顺应性拉普拉斯分解方法（CLDM）应用于分数Newell-Whitehead-Segel（NWS）方程，这是物理学中最重要的振幅方程之一。该方法由一致的Laplace变换和Adomian分解方法（ADM）的统一组成，用于查找线性-非线性分数PDE的近似解析解。结果表明，这种CLDM在求解分数PDE方面非常强大。