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Stability analysis for moving dissipative solitons in two-dimensional dynamical model
The European Physical Journal D ( IF 1.5 ) Pub Date : 2020-04-09 , DOI: 10.1140/epjd/e2020-100467-7 Alain Djazet , Serge I. Fewo , Elvis B. Ngompé Nkouankam , Timoléon C. Kofané
中文翻译:
二维动力学模型中移动耗散孤子的稳定性分析
更新日期:2020-04-09
The European Physical Journal D ( IF 1.5 ) Pub Date : 2020-04-09 , DOI: 10.1140/epjd/e2020-100467-7 Alain Djazet , Serge I. Fewo , Elvis B. Ngompé Nkouankam , Timoléon C. Kofané
Abstract
Pulse propagating in inhomogeneous nonlinear media with linear/nonlinear gain and loss described by the asymmetrical (2 + 1)-dimensional cubic-quintic Ginzburg-Landau equation is considered. The evolution and the stability of the dissipative optical solitons generated from an asymmetric input with respect to two transverse coordinates x and y are studied. Our approach is based on the variational method. This approach allows us to analyze the influence of various physical parameters on the dynamics of the propagating signal and its relevant parameters. According to the parameters of the system and a suitable choice of the test function, a domain of dissipative parameters for stable solitonic solutions is determined. Bifurcation diagrams related to the existence of the stationary solutions presented show a good agreement between analytical and numerical results.Graphical abstract
中文翻译:
二维动力学模型中移动耗散孤子的稳定性分析