The cylindrical Kadomtsev-Petviashvili (cKP) equation related to cylindrical geometry, as one type of the variable-coefficient KP equation, is widely used to describe nonlinear phenomena in fluid, plasma and other fields. With symbolic computation, we have derived the multi-soliton solutions, rational solutions, lump solutions and interaction solutions to the cKP equation based on its bilinear representation. The interaction solutions include two types: The interaction between lump and stripe, and the interaction between lump and soliton. Moreover, we have proposed a new approach to search for the interaction solutions, which can decrease the complexity of the associated nonlinear algebraic equations via reducing the number of the variables. The fast calculation approach provides the condition for the predictability of the interaction solution.

与圆柱几何相关的圆柱Kadomtsev-Petviashvili（cKP）方程是变系数KP方程的一种，广泛用于描述流体，等离子体和其他领域的非线性现象。通过符号计算，我们基于cKP方程的双线性表示，导出了多孤子解，有理解，块解和相互作用解。交互解决方案包括两种类型：块与条带之间的交互以及块与孤子之间的交互。此外，我们提出了一种寻找相互作用解的新方法，该方法可以通过减少变量数量来降低关联的非线性代数方程的复杂度。快速计算方法为交互解决方案的可预测性提供了条件。