Mobility of discrete solitons in quadratically nonlinear media.
Mobility of discrete solitons in quadratically nonlinear media.
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DOI：
10.1103/physrevlett.99.214103
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发表时间：
2006-05
影响因子：
8.6
通讯作者：
Hadi Susanto;P. Kevrekidis;R. Carretero-González;B. Malomed;D. Frantzeskakis
中科院分区：
文献类型：
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作者：
Hadi Susanto;P. Kevrekidis;R. Carretero-González;B. Malomed;D. Frantzeskakis
我们研究了具有二次(X_1(2))非线性的晶格中孤子的迁移率。利用Peierls-Nabarro势的概念和系统的数值模拟，我们证明了与立方(CHI(3))孤子相比，离散二次孤子不仅在一维(1D)环境中是可移动的，而且在二维(2D)中在任何方向上都是可移动的。我们确定了参数区域，在这些参数区域中，对孤子施加初始踢会导致三种可能的结果：停留不动、持续运动或破坏。在2D晶格上，孤子在最大的踢踢下存活下来，并在对角方向上达到最大速度。
We study the mobility of solitons in lattices with quadratic (chi(2), alias second-harmonic-generating) nonlinearity. Using the notion of the Peierls-Nabarro potential and systematic numerical simulations, we demonstrate that, in contrast with their cubic (chi(3)) counterparts, the discrete quadratic solitons are mobile not only in the one-dimensional (1D) setting, but also in two dimensions (2D), in any direction. We identify parametric regions where an initial kick applied to a soliton leads to three possible outcomes: staying put, persistent motion, or destruction. On the 2D lattice, the solitons survive the largest kick and attain the largest speed along the diagonal direction.