论文标题
多动菌Fermi-pasta-ulam-tsingou问题的微晶状体，纳米螺旋杆和孤立波解决方案
Micropterons, Nanopterons and Solitary Wave Solutions to the Diatomic Fermi-Pasta-Ulam-Tsingou Problem
论文作者
论文摘要
我们使用专门的边界值问题求解器来用于混合型功能微分方程，以数值检查向双原子型Fermi-Pasta-pasta-ulam-tsingou（fput）问题的波动波解决方案的景观（fput）问题。通过使用持续方法，我们能够发现最近在各种限制方案中严格构建的微晶体和纳米翅膀分支之间的关系。我们表明，相关的表面以非平凡的方式连接在一起，并说明了孤立波在分支点中起的关键作用。最后，我们从数值上表明，在FPUT系统的完整动力学下，双原子孤立波是稳定的。
We use a specialized boundary-value problem solver for mixed-type functional differential equations to numerically examine the landscape of traveling wave solutions to the diatomic Fermi-Pasta-Ulam-Tsingou (FPUT) problem. By using a continuation approach, we are able to uncover the relationship between the branches of micropterons and nanopterons that have been rigorously constructed recently in various limiting regimes. We show that the associated surfaces are connected together in a nontrivial fashion and illustrate the key role that solitary waves play in the branch points. Finally, we numerically show that the diatomic solitary waves are stable under the full dynamics of the FPUT system.
