In this paper, we analyse two types of rogue wave solutions generated from two improved ansatzs, to the (2 + 1)-dimensional generalized Korteweg–de Vries equation. With symbolic computation, the first-order rogue waves, second-order rogue waves, third-order rogue waves are generated directly from the first ansatz. Based on the Hirota bilinear formulation, another type of one-rogue waves and two-rogue waves can be obtained from the second ansatz. In addition, the dynamic behaviours of obtained rogue wave solutions are illustrated graphically.

中文翻译：

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（2 +1）维广义Korteweg-de Vries方程的大量流浪解

在本文中，我们分析了由两个改进的ansatz生成的两种类型的流浪解，并将其转化为（2 +1）维广义Korteweg-de Vries方程。通过符号计算，直接从第一ansatz生成一阶流氓波，二阶流氓波，三阶流氓波。基于Hirota双线性公式，可以从第二ansatz获得另一种类型的单向波和双向波。此外，还以图形方式说明了获得的无赖波解的动态行为。