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Bright-dark solitary waves, complexitons, Guassian solitons, and traveling wave solitons of the second-order non-linear Schrödinger equation with spatial and temporal dispersion

Author

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  • Min-Jie Dong
  • Shou-Fu Tian
  • Xue-Wei Yan
  • Li Zou
  • Tian-Tian Zhang

Abstract

In this paper, we consider the non-linear Schrödinger equation in fibers with the presence of group velocity dispersion, selfphase modulation and second-order dispersion terms. Using the ansatz method, we derive its bright, dark, complexitons, Gaussian, and traveling wave solitons, respectively. Moreover, we provide the graphical analysis of some solutions in order to better understand their dynamical behavior.

Suggested Citation

  • Min-Jie Dong & Shou-Fu Tian & Xue-Wei Yan & Li Zou & Tian-Tian Zhang, 2018. "Bright-dark solitary waves, complexitons, Guassian solitons, and traveling wave solitons of the second-order non-linear Schrödinger equation with spatial and temporal dispersion," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 32(4), pages 504-515, March.
    • Handle: RePEc:taf:tewaxx:v:32:y:2018:i:4:p:504-515
    DOI: 10.1080/09205071.2017.1398684
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