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- Title
Dynamic behavior and stability analysis of nonlinear modes in the fourth-order generalized Ginzburg–Landau model with near PT-symmetric potentials.
- Authors
Zhang, Jia-Rui; Zhang, Jia-Qi; Zheng, Zhao-Lin; Lin, Da; Shen, Yu-Jia
- Abstract
We investigate the fourth-order generalized Ginzburg–Landau equation and the nonlinear modes modulated by PT -symmetric potentials. By means of Hirota method, we obtained the bilinear form of the equation and further derived the analytic soliton solution. Dynamic behaviors of the solitons under the modulation of near PT -symmetric potentials were studied by numerical simulation: The nonlinear modes tend to be unstable when the potential is closer to conventional PT -symmetric potential, and the amplitude of the nonlinear modes oscillates periodically when the imaginary part of the PT -symmetric potentials is sufficiently large. Moreover, we obtained new nonlinear modes that are different from the above analytic soliton solutions by numerical excitation and tested their stability. These new findings of nonlinear modes in the generalized Ginzburg–Landau model can be potentially applied to hydrodynamics, optics and matter waves in Bose–Einstein condensates.
- Subjects
DYNAMIC stability; BEHAVIORAL assessment; NONLINEAR analysis; BOSE-Einstein condensation; DE-Broglie waves; BILINEAR forms
- Publication
Nonlinear Dynamics, 2022, Vol 109, Issue 2, p1005
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-022-07441-3