A wide range of two-dimensional nonlinear wave is described by Kadomtsev–Petviashvili (KP) equation. We obtained the classification of travelling wave patterns to the generalised KP equation with high-order nonlinear dispersive and dissipative terms. Among these patterns, some new phenomena can be acquired for the first time. Representations of wave propagation patterns were achieved by taking specific values of parameters. This means that all these patterns can be realised under appropriate physical conditions.

中文翻译：

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用广义 KP 方程建模的高阶非线性色散波的传播模式

Kadomtsev-Petviashvili (KP) 方程描述了大范围的二维非线性波。我们将行波模式分类为具有高阶非线性色散和耗散项的广义 KP 方程。在这些模式中，一些新的现象可以第一次获得。波传播模式的表示是通过采用特定的参数值来实现的。这意味着所有这些模式都可以在适当的物理条件下实现。