论文标题
在二维六边形晶格中移动呼吸器的频率摩托车表示
Frequency-momentum representation of moving breathers in a two dimensional hexagonal lattice
论文作者
论文摘要
我们研究了在六边形层中传播的非线性激发，这是硅酸盐阳离子层的模型。我们考虑它们在频率momentum或$ω-k $表示中的特性，将其在移动框架中的pterobreathers上的理论扩展到两个维度。它也很容易扩展到三个维度。 $ω-k $表示中的精确行进波在{\ em共振}平面内，每个平面在移动框架中对应到一个频率。这些频率是称为基本频率的频率的整数倍数。呼吸器在称为呼吸平面的谐振平面内，在移动框架中具有单个频率。谐振平面与声子表面的交点会产生与少量频率的共同翅膀。通过扰动系统获得的行进波由呼吸器和一个孤子组成，并且一起行驶，并且是准表演的。这些行进波可以用作种子，以获得精确的行进波，也由呼吸器和孤子形成。机翼确实存在，但通常很小。
We study nonlinear excitations propagating in a hexagonal layer which is a model for the cation layer of silicates. We consider their properties in the frequency-momentum or $ω-k$ representation, extending the theory on pterobreathers in their moving frame for the first time to two dimensions. It can also be easily extended to three dimensions. Exact traveling waves in the $ω-k$ representation are within {\em resonant} planes, each plane corresponding in the moving frame to a single frequency. These frequencies are integer multiples of a frequency called the fundamental frequency. A breather is within a resonant plane called the breather plane and has a single frequency in the moving frame. The intersection of the resonant planes with the phonon surfaces produce co-traveling wings with a small set of frequencies. The traveling waves obtained by perturbing the system consist of a breather and a soliton traveling together and are quasi-exact. These traveling waves can be used as seeds to obtain exact traveling waves, also formed by a breather and a soliton. The wings do exist but they are usually very small.
