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Emerging fixed-shape solutions from a pulsating chaotic soliton.

Sofia C V Latas¹, Mário F S Ferreira

¹Department of Physics & I3N, University of Aveiro, Aveiro, Portugal. sofia.latas@ua.pt

|October 9, 2012

Summary

This summary is machine-generated.

Higher-order effects like Raman scattering, self-steepening, and third-order dispersion can control chaotic pulsating solitons. A specific combination yields fixed-shape soliton solutions in the quintic complex Ginzburg-Landau equation.

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Area of Science:

Nonlinear optics
Theoretical physics
Mathematical modeling

Background:

Pulsating solitons are complex solutions to nonlinear wave equations.
Higher-order effects (HOEs) can significantly alter soliton dynamics.
The quintic complex Ginzburg-Landau equation models various phenomena, including fiber optics.

Purpose of the Study:

To numerically investigate the impact of specific HOEs on chaotic pulsating solitons.
To determine if HOEs can stabilize chaotic soliton behavior.
To identify conditions for achieving fixed-shape soliton solutions.

Main Methods:

Numerical simulations of the quintic complex Ginzburg-Landau equation.
Analysis of the influence of intrapulse Raman scattering, self-steepening, and third-order dispersion.
Mapping the parameter space for the existence of fixed-shape pulses.

Main Results:

A combination of intrapulse Raman scattering, self-steepening, and third-order dispersion can control chaotic pulsating solitons.
Fixed-shape soliton solutions were achieved through a specific interplay of these HOEs.
The parameter regime for the existence of these stable, fixed-shape pulses was determined.

Conclusions:

Higher-order effects are crucial for controlling chaotic soliton dynamics.
Stable, fixed-shape soliton solutions can be engineered by managing specific HOEs.
This research provides insights into soliton stabilization in nonlinear systems.