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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2017-02-22
Transitional Behaviors of CQGLE Solitons Across Boundaries on a Phase Plane
By
Huai-Ming Chang,

    Dr. Huai-Ming Chang

    Graduate Institute of Communication Engineering

    National Taiwan University

    Taiwan

    Homepage

Jean-Fu Kiang

    Prof. Jean-Fu Kiang

    Department of Electrical Engineering

    National Taiwan University

    China

    Homepage

Progress In Electromagnetics Research M, Vol. 55, 1-12, 2017
doi:10.2528/PIERM16112203 | Google Scholar

Abstract
Soliton solutions of a cubic-quintic Ginzburg-Landau equation (CQGLE) are computed and analyzed on a parametric plane, specifically across the transitional zones that separate regions associated with different types of solitons. The transformations of behaviors in these transitional zones between stationary and pulsating regions are characterized by the total pulse energy and its maximum value. It is also found that the initial pulse waveform has little effect on bifurcation and the valid range of initial amplitude.
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Citation
Huai-Ming Chang, and Jean-Fu Kiang, "Transitional Behaviors of CQGLE Solitons Across Boundaries on a Phase Plane," Progress In Electromagnetics Research M, Vol. 55, 1-12, 2017.
doi:10.2528/PIERM16112203
References

1. Grelu, Ph. and N. Akhmediev, "Dissipative solitons for mode-locked lasers," Nature Photonics, Vol. 6, 84-90, 2012.
doi:10.1038/nphoton.2011.345        Google Scholar

2. Akhmediev, N., J. M. Soto-Crespo, and G. Town, "Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex Ginzburg-Landau equation approach," Phys. Rev. E, Vol. 63, 056602, 2001.
doi:10.1103/PhysRevE.63.056602        Google Scholar

3. Soto-Crespo, J. M., N. Akhmediev, and A. Ankiewicz, "Pulsating, creeping, and erupting solitons in dissipative systems," Phys. Rev. Lett., Vol. 85, 2937, 2000.
doi:10.1103/PhysRevLett.85.2937        Google Scholar

4. Chang, W., J. M. Soto-Crespo, P. Vouzas, and N. Akhmediev, "Extreme amplitude spikes in a laser model described by the complex Ginzburg-Landau equation," Opt. Lett., Vol. 40, No. 13, 2949, 2015.
doi:10.1364/OL.40.002949        Google Scholar

5. Triki, H., F. Azzouzi, and P. Grelu, "Multipole solitary wave solutions of the higher-order nonlinear Schrödinger equation with quintic non-Kerr terms," Opt. Commun., Vol. 309, 71-79, 2013.
doi:10.1016/j.optcom.2013.06.039        Google Scholar

6. Zakeri, G. A. and E. Yomba, "Dissipative solitons in a generalized coupled cubic-quintic Ginzburg-Landau equations," J. Phys. Soc. Japan, Vol. 82, 084002, 2013.
doi:10.7566/JPSJ.82.084002        Google Scholar

7. Saha, M. and A. K. Sarma, "Solitary wave solutions and modulation instability analysis of the nonlinear Schrödinger equation with higher order dispersion and nonlinear terms," Commun. Nonlinear Sci. Num. Simu., Vol. 18, 2420-2425, 2013.
doi:10.1016/j.cnsns.2012.12.028        Google Scholar

8. Triki, H., F. Azzouzi, and P. Grelu, "An efficient split-step compact finite difference method for cubic-quintic complex Ginzburg-Landau equations," Computer Phys. Commun., Vol. 184, 1511-1521, 2013.        Google Scholar

9. Green, P. D., D. Milovic, D. A. Lott, and A. Biswas, "Optical solitons with higher order dispersion by semi-inverse variational principle," Progress In Electromagnetics Research, Vol. 102, 337-350, 2010.
doi:10.2528/PIER10011910        Google Scholar

10. Runge, A. F. J., N. G. R. Broderick, and M. Erkintalo, "Observation of soliton explosions in a passively mode-locked fiber laser," Optica, Vol. 2, 36-39, 2015.
doi:10.1364/OPTICA.2.000036        Google Scholar

11. Cartes, C. and O. Descalzi, "Periodic exploding dissipative solitons," Phys. Rev. A, Vol. 93, 031801, 2016.
doi:10.1103/PhysRevA.93.031801        Google Scholar

12. Chang, W., J. M. Soto-Crespo, P. Vouzas, and N. Akhmediev, "Extreme soliton pulsations in dissipative systems," Phys. Rev. E, Vol. 92, 022926, 2015.
doi:10.1103/PhysRevE.92.022926        Google Scholar

13. Soto-Crespo, J. M., M. Grapinet, P. Grelu, and N. Akhmediev, "Bifurcations and multiple-period soliton pulsations in a passively mode-locked fiber laser," Phys. Rev. E, Vol. 70, 066612, 2004.
doi:10.1103/PhysRevE.70.066612        Google Scholar

14. Akhmediev, N., J. M. Soto-Crespo, M. Grapinet, and P. Grelu, "Dissipative soliton pulsations with periods beyond the laser cavity round trip time," J. Nonlinear Optical Phys. Materials, Vol. 14, No. 2, 177-194, 2005.
doi:10.1142/S0218863505002645        Google Scholar

15. Tsoy, E. N. and N. Akhmediev, "Bifurcations from stationary to pulsating solitons in the cubic-quintic complex Ginzburg-Landau equation," Phys. Lett. A, Vol. 343, 417-422, 2005.
doi:10.1016/j.physleta.2005.05.102        Google Scholar

16. Chang, W., A. Ankiewicz, N. Akhmediev, and J. M. Soto-Crespo, "Creeping solitons in dissipative systems and their bifurcations," Phys. Rev. E, Vol. 76, 016607, 2007.
doi:10.1103/PhysRevE.76.016607        Google Scholar

17. Weiner, A. M., Ultrafast Optics, John Wiley, 2009.
doi:10.1002/9780470473467

18. Agrawal, G. P., Nonlinear Fiber Optics, Academic Press, 2012.

19. Soto-Crespo, J. M., N. Akhmediev, and G. Town, "Continuous-wave versus pulse regime in a passively mode-locked laser with a fast saturable absorber," J. Opt. Soc. Am. B, Vol. 1, 234-242, 2002.
doi:10.1364/JOSAB.19.000234        Google Scholar

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