Collapse suppression and stabilization of dipole solitons in two-dimensional media with anisotropic semilocal nonlinearity
Collapse suppression and stabilization of dipole solitons in two-dimensional media with anisotropic semilocal nonlinearity
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DOI：
10.1103/physreva.81.043816
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发表时间：
2010-03
影响因子：
2.9
通讯作者：
F. Ye;B. Malomed;Yingji He;Bambi Hu
中科院分区：
文献类型：
--
作者：
F. Ye;B. Malomed;Yingji He;Bambi Hu
研究了具有扩散非线性的二维光学介质模型中各向异性非局域性对偶极模（DM）孤子崩溃和稳定的影响。通过椭圆扩散系数使非局部非线性各向异性。在一维扩散率的极限情况下，介质成为半局部的。通过变分近似（VA）和数值形式的基本和DM孤子的家庭。我们证明了即使在半局域系统中，二维梁的坍缩也是被阻止的。各向异性的非局域性很容易稳定DM孤子，这是完全不稳定的各向同性介质。
We consider the impact of anisotropic nonlocality on the arrest of the collapse and stabilization of dipole-mode (DM) solitons in two-dimensional (2D) models of optical media with the diffusive nonlinearity. The nonlocal nonlinearity is made anisotropic through elliptic diffusivity. The medium becomes semi-local in the limit case of 1D diffusivity. Families of fundamental and DM solitons are found by means of the variational approximation (VA) and in a numerical form. We demonstrate that the collapse of 2D beams is arrested even in the semi-local system. The anisotropic nonlocality readily stabilizes the DM solitons, which are completely unstable in the isotropic medium.