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Propagation dynamics of multipole solitons generated in complex fractional Ginzburg–Landau systems.

Authors :
Wen, Jianjun
Wang, Haowen
Xiao, Yan
Source :
Nonlinear Dynamics; Jun2024, Vol. 112 Issue 11, p9419-9430, 12p
Publication Year :
2024

Abstract

Based on the complex Ginzburg–Landau equation, propagation dynamics of multipole solitons generated in the dissipative system are numerically investigated by the split-step Fourier method. The effect of the value of the different Lévy indexes on stability regions of the soliton has been explored. In addition, we observe domains of different outcomes of the evolution of the input beam in the parameter plane of linear loss coefficient or diffraction gain coefficient and cubic gain coefficient. The results show that the evolution can lead to three different outcomes: decay, development into stable single soliton, expansion into the spreading pattern. We also study the evolution of multipole solitons generated with larger quintic loss coefficients and find that the input splits into the symmetrical fragments in the initial propagation. It is also demonstrated that two solitons or three solitons merge into the single soliton. Meanwhile, the relationship of merging distance with Lévy index and initial amplitude is also given. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0924090X
Volume :
112
Issue :
11
Database :
Complementary Index
Journal :
Nonlinear Dynamics
Publication Type :
Academic Journal
Accession number :
177280220
Full Text :
https://doi.org/10.1007/s11071-024-09549-0