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New analytic solutions of two-dimensional nonlocal nonlinear media

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  • Hu, Yahong
  • Zhu, Quanyong

Abstract

In this paper, by using the standard symmetry reduction method, the similarity equations of two-dimensional nonlocal nonlinear optical media are obtained. Painlevé analysis is then performed for the symmetry reduction system. Moreover, test solution method is applied to the nonlocal nonlinear equation. These methods lead to some novel exact solutions of the nonlocal nonlinear optical media, including sech type soliton solutions, csch type divergent solutions, sn type period wave solutions and sn−1 type divergent solutions.

Suggested Citation

  • Hu, Yahong & Zhu, Quanyong, 2017. "New analytic solutions of two-dimensional nonlocal nonlinear media," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 53-61.
    • Handle: RePEc:eee:apmaco:v:305:y:2017:i:c:p:53-61
    DOI: 10.1016/j.amc.2017.01.023
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    References listed on IDEAS

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    1. Perc, Matjaž & Marhl, Marko, 2007. "Noise-induced spatial dynamics in the presence of memory loss," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 72-80.
    2. N. A. Mortensen & S. Raza & M. Wubs & T. Søndergaard & S. I. Bozhevolnyi, 2014. "A generalized non-local optical response theory for plasmonic nanostructures," Nature Communications, Nature, vol. 5(1), pages 1-7, September.
    3. M. Perc, 2009. "Stochastic resonance on paced genetic regulatory small-world networks: effects of asymmetric potentials," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 69(1), pages 147-153, May.
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