流体系统中通过速度共振形成的孤子分子与不对称孤子
Soliton molecules and asymmetric solitons in fluid systems via velocity resonance
AI总结：
提出速度共振机制形成孤子分子，在三个五阶可积系统中展示多种孤子分子结构及其弹性相互作用。
摘要：
孤子分子可能通过一些机制在理论和实验两方面形成。在这封信中，我们引入一种新的可能机制——速度共振——来形成孤子分子。在共振机制下，两个孤子可形成kink-antikink分子、不对称孤子、双峰孤子或远场束缚分子，具体取决于波数的设置和分子中两个孤子间的距离。结果通过三个著名的五阶可积系统展示，这些系统近似求解了一个也出现在许多物理领域中的通用流体模型。这三个可积系统中多个孤子分子间的相互作用是弹性的。
英文摘要：
Soliton molecules may be formed in some possible mechanisms in both theoretical and experimental aspects. In this letter, we introduce a new possible mechanism, the velocity resonant, to form soliton molecules. Under the resonant mechanism, two solitons may be formed to a kink-antikink molecule, an asymmetric soliton, a two-peak soliton and/or a far away bounded molecule depended on the selections of the wave numbers and the distance between two solitons of the molecule. The results are exhibited via three well known fifth order integrable systems which approximately solve a general fluid model that also appeared in many other physical fields. The interactions among multiple soliton molecules for these three integrable systems are elastic.
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