In this paper, based on N-soliton solutions, we introduce a new constraint among parameters to find the resonance Y-type soliton solutions in (2+1)-dimensional integrable systems. Then, we take the (2+1)-dimensional Sawada–Kotera equation as an example to illustrate how to generate these resonance Y-type soliton solutions with this new constraint. Next, by the long wave limit method, velocity resonance and module resonance, we can obtain some new types of hybrid solutions of resonance Y-type solitons with line waves, breather waves, high-order lump waves respectively. Finally, we also study the dynamics of these interaction solutions and indicate mathematically that these interactions are elastic.

本文在N孤子解的基础上，引入了参数间的新约束，以求出（2 + 1）维可积系统的共振Y型孤子解。然后，我们以（2 + 1）维Sawada-Kotera方程为例，说明如何在这种新约束条件下生成这些共振Y型孤子解。接下来，通过长波极限法，速度共振和模共振，我们可以得到一些新的共振Y型孤子分别与线波，通气波，高阶集总波的混合解。最后，我们还研究了这些相互作用解决方案的动力学，并在数学上表明这些相互作用是有弹性的。