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Two-dimensional dark solitons in diffusive nonlocal nonlinear media

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Abstract

Using the balance principle and the F-expansion method, we find dark soliton solutions in a general nonlocal nonlinear optical model with a diffusive type of nonlinearity. These solutions are modeled by numerical simulation, in order to study how they propagate and interact with each other. Our results show that the multidimensional nonlocal solitary waves can be manipulated and controlled by changing the degree of nonlocality and the diffraction coefficient.

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Acknowledgments

This work is supported in China by the Young teachers corporate action plan project (XD2012358), the National college students’ innovative entrepreneurial training program at local colleges, under Grant 201210927052. In addition, work in China is further supported by the Natural Science Foundation of Guangdong Province under Grant No. 1015283001000000 and in Qatar by the NPRP 09-462-1-074 project with the Qatar National Research Fund (a member of the Qatar Foundation). Work in Belgrade, Serbia, is supported under the project OI 171006 of the Ministry of Education, Science and Technological Development.

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Authors and Affiliations

  1. The School of Electronic and Information Engineering, HuBei University of Science and Technology, Xianning, 437100, China

    Si-Liu Xu

  2. Institute of Physics, University of Belgrade, P.O. Box 68, 11001, Belgrade, Serbia

    Nikola Petrović

  3. Science Program, Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

    Milivoj R. Belić

Authors
  1. Si-Liu Xu
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  2. Nikola Petrović
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  3. Milivoj R. Belić
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Correspondence to Si-Liu Xu.

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Xu, SL., Petrović, N. & Belić, M.R. Two-dimensional dark solitons in diffusive nonlocal nonlinear media. J Opt 44, 172–177 (2015). https://doi.org/10.1007/s12596-015-0243-z

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  • DOI: https://doi.org/10.1007/s12596-015-0243-z

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