期刊
NONLINEAR DYNAMICS
卷 103, 期 3, 页码 2793-2803出版社
SPRINGER
DOI: 10.1007/s11071-021-06251-3
关键词
Dark-managed solitary wave; Inhomogeneous higher-order nonlinear Schrodinger equation; Ansatz method
资金
- DGEFS/Ministry of Higher Education and Scientific Research through PRFU Project [B00L02UN410120190002]
The study focuses on the inhomogeneous higher-order nonlinear Schrodinger equation, investigating the dark soliton-type pulse propagation with cubic-quintic-septic nonlinear terms and gain or loss with variable coefficients. A novel dark-managed soliton structure with a sech(2/3) profile is found, different from traditional tanh dark solitons in Kerr-type media. The stability of these solitons under initial perturbations is also explored, along with numerical investigations on the interaction dynamics of two and three dark-managed solitons.
We investigate the inhomogeneous higher-order nonlinear Schrodinger (INHLS) equation including cubic-quintic-septic (CQS) nonlinear terms and gain or loss with variable coefficients. The exact analytic solution that describes dark soliton-type pulse propagation is found for the model by employing the ansatz method. Unlike the traditional tanh dark soliton in Kerr-type media, the functional form of this novel dark-managed soliton structure takes a sech(2/3) profile. Parametric conditions are presented in which these optical solitons exist. We also investigated the stability of these dark-managed solitons under some initial perturbations by employing the numerical simulation methods. Finally, the interaction dynamics of two and three dark-managed solitons has been numerically explored.
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