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Exploding soliton and front solutions of the complex cubic–quintic Ginzburg–Landau equation

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  • Soto-Crespo, J.M.
  • Akhmediev, Nail

Abstract

We present a study of exploding soliton and front solutions of the complex cubic–quintic Ginzburg–Landau (CGLE) equation. We show that exploding fronts occur in a region of the parameter space close to that where exploding solitons exist. Explosions occur when eigenvalues in the linear stability analysis for the ground-state stationary solitons have positive real parts. We also study transition from exploding fronts to exploding solitons and observed extremely asymmetric soliton explosions.

Suggested Citation

  • Soto-Crespo, J.M. & Akhmediev, Nail, 2005. "Exploding soliton and front solutions of the complex cubic–quintic Ginzburg–Landau equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 69(5), pages 526-536.
    • Handle: RePEc:eee:matcom:v:69:y:2005:i:5:p:526-536
    DOI: 10.1016/j.matcom.2005.03.006
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    Cited by:

    1. Yan, Yun & Moxley, Frederick Ira & Dai, Weizhong, 2015. "A new compact finite difference scheme for solving the complex Ginzburg–Landau equation," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 269-287.

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