AI Article Synopsis
- The study explores how self-frequency shift, self-steepening, and third-order dispersion affect soliton solutions in a specific mathematical model.
- Properly combining these higher-order effects can prevent pulse explosions in soliton behavior.
- Specifically, positive third-order dispersion balances self-frequency shift, while negative third-order dispersion offsets self-steepening, leading to stable pulse propagation.
Article Abstract
We numerically study the impact of self-frequency shift, self-steepening, and third-order dispersion on the erupting soliton solutions of the quintic complex Ginzburg-Landau equation. We find that the pulse explosions can be completely eliminated if these higher-order effects are properly conjugated two by two. In particular, we observe that positive third-order dispersion can compensate the self-frequency shift effect, whereas negative third-order dispersion can compensate the self-steepening effect. A stable propagation of a fixed-shape pulse is found under the simultaneous presence of the three higher-order effects.
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| http://dx.doi.org/10.1364/OL.35.001771 | DOI Listing |
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