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Stability characteristics for dissipative solitons solutions in three-dimensional complex Swift-Hohenberg equations

GUANGYU JIANG1,2,* , YANJUN FU1,2, KEJUN ZHONG1,2, TIANYI XU1

Affiliation

  1. School of Measuring and Optical Engineering, Nanchang Hangkong University, Nanchang 330063, China
  2. Key Laboratory of Nondestructive Testing, Ministry of Education,Nanchang Hangkong University, Nanchang 330063, China

Abstract

We investigate the stability characteristics for dissipative solitons solutions in three-dimensional complex Swift-Hohenberg(CSH) equations. The variational approach is used to gain steady state solutions of complex Swift-Hohenberg equations. Following numerical simulations, the quintic-loss parameter, cubic-gain coefficient, effective diffusion (viscosity) or angular spectral filtering have more significant effect on steady state solutions. In particular, an asymmetric input pulses will always give a stable dissipative spatial soliton for dissipative parameters from this domain. The opportunity to achieve analytically and numerically asymmetrical input pulses propagating toward necessarily stable and robust dissipative light bullets opens possibilities for theoretical, experimental and even diverse practical applications..

Keywords

Nonlinear optics, Complex Swift-Hohenberg equation, Optical solitons.

Submitted at: March 19, 2018
Accepted at: Nov. 29, 2018

Citation

GUANGYU JIANG, YANJUN FU, KEJUN ZHONG, TIANYI XU, Stability characteristics for dissipative solitons solutions in three-dimensional complex Swift-Hohenberg equations, Journal of Optoelectronics and Advanced Materials Vol. 20, Iss. 11-12, pp. 594-600 (2018)