Yuan Zongqiang, Wang Jun, Chu Min, Xia Guodong, Zheng Zhigang
Department of Physics and the Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing 100875, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):042901. doi: 10.1103/PhysRevE.88.042901. Epub 2013 Oct 2.
The spatiotemporal propagation behavior of a solitary wave is investigated on a Fermi-Pasta-Ulam ring. We observe the emergence of a cnoidal wave excited by the solitary wave. The cnoidal wave may coexist with the solitary wave for a long time associated with the periodic exchange of energy between these two nonlinear waves. The module of the cnoidal wave, which is considered as an indicator of the nonlinearity, is found to oscillate with the same period of the energy exchange. After the stage of coexistence, the interaction between these two nonlinear waves leads to the destruction of the cnoidal wave by the radiation of phonons. Finally, the interaction of the solitary wave with phonons leads to the loss of stability of the solitary wave.
在费米-帕斯塔-乌拉姆环上研究了孤立波的时空传播行为。我们观察到由孤立波激发的椭圆余弦波的出现。椭圆余弦波可能与孤立波长时间共存，这与这两个非线性波之间的能量周期性交换有关。椭圆余弦波的模量被视为非线性的一个指标，发现它以相同的能量交换周期振荡。在共存阶段之后，这两个非线性波之间的相互作用导致椭圆余弦波因声子辐射而被破坏。最后，孤立波与声子的相互作用导致孤立波失去稳定性。
