Rotating multipole vortex solitons in nonlocal media

2007 ◽  
Author(s):  
Daniel Buccoliero ◽  
Anton S. Desyatnikov ◽  
Wieslaw Krolikowski ◽  
Yuri S. Kivshar
Keyword(s):  
Vortex Solitons ◽  
Nonlocal Media

Higher-charge vortex solitons and vector vortex solitons in strongly nonlocal media

2019 ◽  
Vol 44 (12) ◽  
pp. 3098 ◽  
Author(s):  
Huicong Zhang ◽  
Manna Chen ◽  
Ling Yang ◽  
Bo Tian ◽  
Chengjie Chen ◽  
...  
Keyword(s):  
Vortex Solitons ◽  
Nonlocal Media

Stable propagation of the cylindrical-vector vortex solitons in strongly nonlocal media

2021 ◽  
Author(s):  
Qian Shou ◽  
Zhiwei Weng ◽  
Siyin Guan ◽  
Hui Han ◽  
Hui Huang ◽  
...  
Keyword(s):  
Stable Propagation ◽  
Vortex Solitons ◽  
Nonlocal Media

Stability of elliptic vortex solitons in anisotropic nonlocal media

2014 ◽  
Vol 12 (12) ◽  
pp. 121901-121905 ◽  
Author(s):  
Lijuan Ge Lijuan Ge ◽  
Ming Shen Ming Shen ◽  
Taocheng Zang Taocheng Zang ◽  
Lu Dai Lu Dai
Keyword(s):  
Vortex Solitons ◽  
Nonlocal Media

scholarly journals Quasi-stable fractional vortex solitons in nonlocal nonlinear media

2021 ◽  
pp. 104511
Author(s):  
Xinjian Pan ◽  
Chongfu Zhang ◽  
Chunjian Deng ◽  
Zhili Li ◽  
Qing Wang
Keyword(s):  
Nonlinear Media ◽  
Nonlocal Nonlinear Media ◽  
Vortex Solitons ◽  
Nonlocal Nonlinear

Stability of quadrupole solitons in nonlocal media

Optik ◽  
2021 ◽  
Vol 227 ◽  
pp. 166052
Author(s):  
Taocheng Zang ◽  
Ming Shen ◽  
Lijuan Ge
Keyword(s):  
Nonlocal Media

Vector multipole and vortex solitons in two-dimensional Kerr media

2017 ◽  
Vol 88 (4) ◽  
pp. 2629-2635 ◽  
Author(s):  
Chao-Qing Dai ◽  
Guo-Quan Zhou ◽  
Rui-Pin Chen ◽  
Xian-Jing Lai ◽  
Jun Zheng
Keyword(s):  
Two Dimensional ◽  
Kerr Media ◽  
Vortex Solitons

scholarly journals Fractional Diffusion Equations for Lattice and Continuum: Grünwald-Letnikov Differences and Derivatives Approach

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Vasily E. Tarasov
Keyword(s):  
Fractional Derivatives ◽  
Three Dimensional ◽  
Lattice Models ◽  
Fractional Diffusion ◽  
Lattice Diffusion ◽  
Diffusion Equations ◽  
Difference Operators ◽  
Fractional Diffusion Equations ◽  
Nonlocal Media ◽  
Derivatives Of

Fractional diffusion equations for three-dimensional lattice models based on fractional-order differences of the Grünwald-Letnikov type are suggested. These lattice fractional diffusion equations contain difference operators that describe long-range jumps from one lattice site to another. In continuum limit, the suggested lattice diffusion equations with noninteger order differences give the diffusion equations with the Grünwald-Letnikov fractional derivatives for continuum. We propose a consistent derivation of the fractional diffusion equation with the fractional derivatives of Grünwald-Letnikov type. The suggested lattice diffusion equations can be considered as a new microstructural basis of space-fractional diffusion in nonlocal media.

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