The N-rational solutions to two (2+1)-dimensional nonlinear evolution equations are constructed by utilizing the long wave limit method. M-lump solutions to the two equations are derived by making some parameters conjugate to each other. We present and discuss the 1-, 2- and 3-lump solutions to the two equations. The amplitude and shape of the one lump wave remain unchanged during the propagation. The dynamic properties of the collisions among multiple lump waves are analyzed, which indicate that the fusion and fission of multiple lump waves might occur. The multiple lump waves might merge into one lump wave, then split into multiple lump waves. The lines which multiple lump waves follow are various if we choose different parameters. These results are helpful to describe some nonlinear phenomena in the areas of optics, fluid dynamics and plasma.

利用长波极限法构造了两个(2+1)维非线性演化方程的N个有理解。米通过使一些参数相互共轭来推导出这两个方程的 -lump 解。我们提出并讨论了这两个方程的 1、2 和 3 块解。在传播过程中，一个块波的幅度和形状保持不变。分析了多个块波之间碰撞的动力学特性，表明可能发生多个块波的融合和裂变。多个团波可能会合并为一个团波，然后又分裂为多个团波。如果我们选择不同的参数，多个块波所遵循的路线是不同的。这些结果有助于描述光学、流体动力学和等离子体领域的一些非线性现象。