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Exact solitary waves for the 2D Sasa-Satsuma equation

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  • Mvogo, Alain
  • Mouassom, L. Fernand
  • Nyam, F. M. Enyegue A
  • Mbane, C. Bioule

Abstract

In this work, we investigate exact solitary wave solutions for the 2D Sasa-Satsuma equation by using the envelope transform and Jacobi elliptic function expansion method. We obtain breather, bright and dark solitary wave solutions. It is shown that 2D Sasa-Satsuma equation has very rich dynamical behavior and can describe the propagation of nonlinear waves in many fields of physics.

Suggested Citation

  • Mvogo, Alain & Mouassom, L. Fernand & Nyam, F. M. Enyegue A & Mbane, C. Bioule, 2020. "Exact solitary waves for the 2D Sasa-Satsuma equation," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    • Handle: RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300564
    DOI: 10.1016/j.chaos.2020.109657
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    References listed on IDEAS

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    1. Wright, O.C., 2007. "Sasa-Satsuma equation, unstable plane waves and heteroclinic connections," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 374-387.
    2. D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, December.
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