Yang Lingfa, Zhabotinsky Anatol M, Epstein Irving R
Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454-9110, USA.
Phys Chem Chem Phys. 2006 Oct 28;8(40):4647-51. doi: 10.1039/b609214d. Epub 2006 Sep 11.
We describe a new type of solitary waves, which propagate in such a manner that the pulse periodically disappears from its original position and reemerges at a fixed distance. We find such jumping waves as solutions to a reaction-diffusion system with a subcritical short-wavelength instability. We demonstrate closely related solitary wave solutions in the quintic complex Ginzburg-Landau equation. We study the characteristics of and interactions between these solitary waves and the dynamics of related wave trains and standing waves.
我们描述了一种新型的孤立波，其传播方式使得脉冲周期性地从其原始位置消失，并在固定距离处重新出现。我们发现这种跳跃波是具有亚临界短波长不稳定性的反应扩散系统的解。我们在五次复金兹堡-朗道方程中展示了密切相关的孤立波解。我们研究了这些孤立波的特性及其相互作用，以及相关波列和驻波的动力学。
