Dark-managed solitons in inhomogeneous cubic–quintic–septimal nonlinear media

We investigate the inhomogeneous higher-order nonlinear Schrödinger (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 th...

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Bibliographic Details
Published in:Nonlinear dynamics 2021-02, Vol.103 (3), p.2793-2803
Main Authors: Maddouri, Kamel, Azzouzi, Faiçal, Triki, Houria, Bouguerra, Abdesselam, Amara Korba, Sabiha
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Exact solutions
Mathematical models
Mechanical Engineering
Numerical methods
Original Paper
Perturbation
Pulse propagation
Solitary waves
Vibration
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Summary:We investigate the inhomogeneous higher-order nonlinear Schrödinger (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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-06251-3