Soliton molecules may exist experimentally and theoretically. In this work, we generate some soliton molecules for (2 + 1)–dimensional Sawada–Kotera equation by multiple soliton solutions and a subtle velocity resonance ansatz excited by an observation of bound state behavior of solitons. Asymmetric solitons can be derived by selecting specific parameters of soliton molecules. On the basis of multiple soliton solutions, some new interaction structures consisting of soliton molecules (SMs), breather molecules (BMs) and/or soliton-breather molecules (SBMs) are found by dealing with partial parameters under the velocity resonance and module resonance mechanisms along with complex conjugate condition assumptions. Abundant results show excellent performances and make the problem integrated solving approach a promising one.

孤子分子可能在实验上和理论上存在。在这项工作中，我们通过多个孤子解决方案和通过观察孤子的束缚态行为而激发的微妙的速度共振ansatz，为（2 +1）维Sawada-Kotera方程生成了一些孤子分子。不对称孤子可以通过选择孤子分子的特定参数来推导。在多个孤子解的基础上，通过处理速度共振和模块共振机制下的部分参数，发现了一些由孤子分子（SMs），呼吸分子（BMs）和/或孤子呼吸分子（SBMs）组成的新的相互作用结构。以及复杂的共轭条件假设。大量的结果显示了出色的性能，并使问题集成解决方法成为一种有希望的方法。