The evolution of initial finite-energy Airy pulse pairs with different initial relative phases and time separations is numerically investigated in the erupting soliton parameter region of the cubic-quintic complex Ginzberg–Laudau equation-governed dissipative system. It shows that, before evolving to the final erupting solitons, all of the Airy pulse pairs will experience a special soliton dynamic called erupting soliton molecules that consist of two or more branches of erupting solitons. Moreover, the number and structures of the suberupting solitons will vary with different initial relative phases and time separations. Before forming the finally single erupting solitons, these suberupting solitons may merge for one moment and separate for the next. The merging or separating position as well as the erupting positions of every suberupting soliton may vary with the propagation distance. The evolutionary dynamics of the final erupting solitons also varies with different initial relative phases and time separations.

中文翻译：

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耗散系统中孤子爆发的异常演化动力学

在立方五次复数Ginzberg-Laudau方程控制的耗散系统的爆发孤子参数区域中，对具有不同初始相对相位和时间间隔的初始有限能量Airy脉冲对的演化进行了数值研究。它表明，在发展到最终的爆发孤子之前，所有的艾里脉冲对都会经历一种特殊的孤子动力学，这种动力学称为爆发孤子分子，该分子由两个或多个爆发孤子组成。而且，亚爆发孤子的数量和结构将随着不同的初始相对相位和时间间隔而变化。在形成最终的单个喷发孤子之前，这些喷发孤子可能会融合一会儿，然后分离到下一会儿。每个喷发孤子的合并或分离位置以及爆发位置都可能随传播距离而变化。最终喷发孤子的演化动力学也随着不同的初始相对相位和时间间隔而变化。