有限域上具有嵌套结构的孤子
Solitons with nested structure over finite fields
摘要：
我们提出了一个有限域上的孤子动力学系统，它可以被看作是箱球系统的模拟。证明了该系统的单孤子解具有类似分形的嵌套结构。本文中的孤子系统是用多项式来描述的，这似乎是新颖的。此外，尽管如此复杂的内部结构，数值模拟显示稳定的多个孤子之间的碰撞前后的传播保持其模式。
英文摘要：
We propose a solitonic dynamical system over finite fields that may be regarded as an analogue of the box-ball systems. The one-soliton solutions of the system, which have nested structures similar to fractals, are also proved. The solitonic system in this paper is described by polynomials, which seems to be novel. Furthermore, in spite of such complex internal structures, numerical simulations exhibit stable propagations before and after collisions among multiple solitons with preserving their patterns.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
