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Optica Publishing Group
  • Chinese Optics Letters
  • Vol. 8,
  • Issue 1,
  • pp. 89-92
  • (2010)

Analytical self-similar solutions of the Ginzburg-Landau equation with three-order dispersion effect

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Abstract

Based on the technique of the symmetry reduction, we find the asymptotic self-similarity analytical resolutions from the constant coefficient Ginzburg-Landau equation considering both influences of the third-order dispersion and gain dispersion on the evolution of pulses. We have obtained the self-similar pulse amplitude function, phase function, strict linear chirp function, and the effective temporal pulse width. Numerical simulations show qualitative agreement with these theoretical results.

© 2010 Chinese Optics Letters

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