Two nonlocal Alice–Bob Sawada–Kotera (ABSK) systems, accompanied by the parity and time reversal invariance are studied. The Lax pairs of two systems are uniformly written out in matrix form. The periodic waves, multiple solitons, and soliton molecules of the ABSK systems are obtained via the bilinear method and the velocity resonant mechanism. Though the interactions among solitons are elastic, the interactions between soliton and soliton molecules are not elastic. In particular, the shapes of the soliton molecules are changed explicitly after interactions.

中文翻译：

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两个非局部Alice–Bob Sawada–Kotera系统中的孤子和孤子分子

研究了两个非本地Alice–Bob Sawada–Kotera（ABSK）系统，以及奇偶性和时间反转不变性。两个系统的Lax对以矩阵形式统一写出。通过双线性方法和速度共振机制获得了ABSK系统的周期波，多个孤子和孤子分子。尽管孤子之间的相互作用是弹性的，但孤子与孤子分子之间的相互作用不是弹性的。特别地，孤子分子的形状在相互作用后显着改变。