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Exact solitons, periodic peakons and compactons in an optical soliton model

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Abstract

To study the properties of one-dimensional spatial solitons in thermal nonlocal media, we investigate the dynamical behaviour and bifurcation of solutions of the planar systems deduced from the model for one-dimensional beams. By approach of dynamical systems, we obtain the exact forms of parametric representations for solitary wave solution, kink wave solution, periodic wave solution, periodic peakon and compacton solution. Different wave profiles have been recovered by using the associated planar dynamical systems, showing new types of wave solutions which have not been observed in previous studies for the similar models.

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Authors and Affiliations

  1. Department of Mathematics, Swinburne University of Technology, Melbourne, 3122, Australia

    Tonghua Zhang

  2. School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, Fujian, People’s Republic of China

    Jibin Li

  3. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, Zhejiang, People’s Republic of China

    Jibin Li

Authors
  1. Tonghua Zhang
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  2. Jibin Li
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Correspondence to Jibin Li.

Additional information

The authors are supported by the National Natural Science Foundation of China (11471289, 11571318).

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Zhang, T., Li, J. Exact solitons, periodic peakons and compactons in an optical soliton model. Nonlinear Dyn 91, 1371–1381 (2018). https://doi.org/10.1007/s11071-017-3950-y

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  • DOI: https://doi.org/10.1007/s11071-017-3950-y

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