In this paper, a variable-coefficient symbolic computation approach is proposed to solve the multiple rogue wave solutions of nonlinear equation with variable coefficients. As an application, a (\(2+1\))-dimensional variable-coefficient Kadomtsev–Petviashvili equation is investigated. The multiple rogue wave solutions are obtained and their dynamic features are shown in some 3D and contour plots.

中文翻译：

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变系数非线性系统多流氓波解的变系数符号计算方法

本文提出了一种变系数符号计算方法来求解变系数非线性方程的多重流氓波解。作为应用，研究了 ( \(2+1\) ) 维变系数 Kadomtsev–Petviashvili 方程。获得了多个流氓波解决方案，并在一些 3D 和等高线图中显示了它们的动态特征。