Kink dynamics in spatially inhomogeneous media: the role of internal modes.
Kink dynamics in spatially inhomogeneous media: the role of internal modes.
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空间非均匀介质中的扭结动力学：内部模式的作用。
DOI：
10.1103/physreve.75.036611
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
A. Sánchez
中科院分区：
文献类型：
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作者：
Jorge A. Gonzalez;Sara Cuenda;A. Sánchez
空间相关项摄动孤子承载方程中的长尺度竞争现象[j]。Sánchez和a . R. Bishop, SIAM Rev. 40, 579(1998)]从一般观点进行分析。我们证明了扰动引起了由阱和势垒组成的孤子的有效势。我们计算了这些势特征对孤子的影响，建立了势的最大值、最小值和曲率与孤子变形之间的直接关系。当扰动的典型波长是孤子宽度的数量级时，这些变形对应于形状模式的激发，并可能导致孤子动能的耗散，进而导致孤子不可能传播。因此，我们证明了长度尺度竞争的机制与内部模式的动态变化有关。我们研究了不同的例子，其中扰动是参数和非参数引入，以表明我们的结果适用于广泛的一类方程。
The phenomenon of length-scale competition in soliton-bearing equations perturbed by spatially dependent terms [A. Sánchez and A. R. Bishop, SIAM Rev. 40, 579 (1998)] is analyzed from a general viewpoint. We show that the perturbation gives rise to an effective potential for solitons, which consists of wells and barriers. We calculate the effect of these potential features on the solitons, establishing a direct relationship between the maxima, minima, and curvature of the potential with soliton deformations. When the typical wavelength of the perturbation is of the order of the soliton width, these deformations are seen to correspond to the excitation of shape modes and can lead to the dissipation of the soliton kinetic energy and, further, to the impossibility of soliton propagation. Thus, we demonstrate that the mechanism for length-scale competition is related to changes in the dynamics of the internal modes. We study different examples where the perturbation is introduced parametrically and nonparametrically to make it clear that our results apply to a wide class of equations.