In the present paper, first, resonant multi-soliton solutions of a combined pKP-BKP equation were obtained by carrying out the linear superposition principle and a group of 3D and contour images vividly represent the process of wave motion with physical interpretation. Next, M-breather solutions including 1-breather, 2-breather, 3-breather and hybrid solutions between breather and soliton have been constructed with their dynamic characters and physical structure via the complex conjugate method and symbolic computation. Finally, by combining the long wave limit method and the complex conjugate method in term of N-soliton solutions, M-lump solutions including 1-lump, 2-lump and 3-lump and two types of hybrid solutions between lumps and solitons were obtained. In addition, several groups of images exhibited their dynamic structure and physical properties with physical interpretation via symbolic computation. Furthermore, the obtained results have immensely augmented the exact solutions of a combined pKP-BKP equation on the available literature and enabled us to understand the nonlinear dynamic system deeply.

本文首先通过线性叠加原理得到了组合pKP-BKP方程的共振多孤子解，一组3维和等高线图像用物理解释形象地表现了波浪运动的过程。接下来，通过复共轭方法和符号计算，构建了包括1-breath、2-breath、3-breath和breather和孤子混合解在内的M-breath解决方案及其动态特性和物理结构。最后，结合长波极限法和复共轭法在N-孤子解方面，得到了M-lump解包括1-lump、2-lump和3-lump以及两种类型的块与孤子混合解。 . 此外，几组图像展示了它们的动态结构和物理特性，并通过符号计算进行了物理解释。此外，所获得的结果极大地增加了现有文献中组合 pKP-BKP 方程的精确解，并使我们能够深入了解非线性动态系统。