Gap solitons in quasiperiodic optical lattices.
Gap solitons in quasiperiodic optical lattices.
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DOI：
10.1103/physreve.74.026601
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发表时间：
2006-07
期刊：
影响因子：
--
通讯作者：
H. Sakaguchi;B. Malomed
中科院分区：
文献类型：
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作者：
H. Sakaguchi;B. Malomed
构造了一维和二维(一维和二维)Gross-Pitaevskii方程中的孤子族，该方程具有排斥非线性和准晶型势能(在2D情况下，势能对应于五重光学晶格)。在三个带隙中明显地发现了弱势中稳定的一维孤子。这些孤子是可移动的，它们会弹性碰撞。在强势中发现了许多紧密束缚的一维孤子，既有稳定的，也有不稳定的(不稳定的孤子将自己转变为不对称的呼吸子)。在二维模型中，发现了基孤子族和涡孤子族，并证明了它们是稳定的。
Families of solitons in one- and two-dimensional (1D and 2D) Gross-Pitaevskii equations with the repulsive nonlinearity and a potential of the quasicrystallic type are constructed (in the 2D case, the potential corresponds to a fivefold optical lattice). Stable 1D solitons in the weak potential are explicitly found in three band gaps. These solitons are mobile, and they collide elastically. Many species of tightly bound 1D solitons are found in the strong potential, both stable and unstable (unstable ones transform themselves into asymmetric breathers). In the 2D model, families of both fundamental and vortical solitons are found and are shown to be stable.