Fluids, as a phase of matter including liquids, gases and plasmas, are seen to be common in nature, the study of which helps the design in the related industries. In this paper, we optimize the Pfaffian technique and investigated the Boiti–Leon–Manna–Pempinelli equation for an irrotational incompressible fluid. Higher-order hybrid solutions consisting of the L lumps, M breathers and N solitons are constructed with L, M and N being positive integers. Relative extrema of the breather and lump are presented, respectively. Breather is found to be localized along the curve \(a_1 x+b_1 \varphi (y)+\omega _1 t+\xi _1=0\) and periodic along the curve \(\alpha _1 x+\beta _1 \varphi (y)+\gamma _1 t+\theta _1=0\). Under the lump existence condition, higher-order rogue wave solutions do not exist. Hybrid solutions composed of breathers, lumps and solitons are illustrated graphically. It can be found that when certain parameters are chosen, the breather, lump and soliton included in the hybrid solutions possess the same properties as those of the breather and lump solutions.

流体是包括液体，气体和等离子在内的物质的一个相，在自然界被认为是很普遍的，对流体的研究有助于相关行业的设计。在本文中，我们优化了Pfaffian技术，并研究了非旋转不可压缩流体的Boiti–Leon–Manna–Pempinelli方程。由L块，M呼吸器和N个孤子组成的高阶混合解的构造是L，M和N为正整数。分别显示了呼吸和肿块的相对极值。发现呼吸器沿曲线\（a_1 x + b_1 \ varphi（y）+ \ omega _1 t + \ xi _1 = 0 \）局部且沿曲线周期性\（\ alpha _1 x + \ beta _1 \ varphi（y）+ \ gamma _1 t + \ theta _1 = 0 \）。在总存在条件下，不存在高阶流浪解。图形化地显示了由呼吸器，团块和孤子组成的混合解决方案。可以发现的是，当被选择某些参数，包括在混合解决方案通气，块状和孤子具有相同的性质的那些通气和块状的解决方案。