Journal ArticleDOI
Analytic study on chirped optical solitons in nonlinear metamaterials with higher order effects
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TLDR
In this article, the ultrashort pulse propagation in optical metamaterials (OMMs) modeled by a generalized nonlinear Schrodinger equation with higher order effects is studied, by considering a complex envelope and a specific nonlinear chirp ansatz, a wide range of exact chirped soliton solutions are derived in the presence of the pseudo-quintic nonlinearity and the self-steepening effect.Abstract:
The ultrashort pulse propagation in optical metamaterials (OMMs) modeled by a generalized nonlinear Schrodinger equation with higher order effects is studied, in the present paper. To this end, by considering a complex envelope and a specific nonlinear chirp ansatz, a wide range of exact chirped soliton solutions are derived in the presence of the pseudo-quintic nonlinearity and the self-steepening effect. Exact solutions include kink and anti-kink chirped soliton solutions that are retrieved through the use of newly well-designed methods. The complex envelopes presented herein provide new specific nonlinear shock wave structures in OMMs which are vital for numerical and experimental verifications.read more
Citations
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Biswas–Arshed equation with the beta time derivative: Optical solitons and other solutions
TL;DR: In this article, a wave variable transformation is first utilized for reducing the Biswas-Arshed equation with the beta time derivative to a nonlinear ODE of integer order; then, optical solitons and other solutions of the model are retrieved by adopting the Jacobi and Kudryashov methods.
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Dynamics of optical solitons in the perturbed Gerdjikov–Ivanov equation
TL;DR: In this paper, the dynamics of solitons in the perturbed Gerdjikov-Ivanov (PGI) equation is explored by considering particular transformations and exerting newly well-established methods to obtain optical solITons of the model.
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Soliton solutions of the Sasa-Satsuma equation in the monomode optical fibers including the beta-derivatives
TL;DR: In this article, the Sasa-Satsuma (SS) equation describing the propagation of short light pulses is derived in the presence of the beta-derivatives, and the dynamics of soliton solutions in the monomode optical fibers is analyzed for different values of the parameter β.
Journal ArticleDOI
Optical wave structures to the Fokas–Lenells equation
TL;DR: In this article, the authors investigated the Fokas-Lenells (FL) equation that describes the soliton dynamics precisely in waveguides by utilizing a traveling wave hypothesis for reducing the FL equation and handling the resulting ODE using the e x p a and Jacobi elliptic function methods.
Journal ArticleDOI
Soliton Solutions of High-order Nonlinear Schrödinger Equations with Different Laws of Nonlinearities
TL;DR: In this article, high-order nonlinear Schrodinger equations in non-Kerr law media with different laws of nonlinearities are studied, after considering a complex envelope and distinguishing the real and imaginary portions of the models, describing the propagation of solitons through nonlinear optical fibers.
References
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Exp-function method for nonlinear wave equations
Ji-Huan He,Xu-Hong Wu +1 more
TL;DR: In this article, a new method, called Exp-function method, is proposed to seek solitary solutions, periodic solutions and compacton-like solutions of nonlinear differential equations, and the modified KdV equation and Dodd-Bullough-Mikhailov equation are chosen to illustrate the effectiveness and convenience of the suggested method.
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One method for finding exact solutions of nonlinear differential equations
TL;DR: In this article, a method for finding exact solutions of nonlinear differential equations is considered and modifications of the method are discussed, showing that the method is one of the most effective approaches for solving nonlinear problems.
Journal ArticleDOI
Chirped femtosecond solitons and double-kink solitons in the cubic-quintic nonlinear Schrödinger equation with self-steepening and self-frequency shift
TL;DR: In this paper, it was shown that the competing cubic-quintic nonlinearity induces propagating solitonlike dark solitons and double-kink solITons in the nonlinear Schr\"odinger equation with self-steepening and self-frequency shift.
Journal ArticleDOI
Optical soliton perturbation for Radhakrishnan–Kundu–Lakshmanan equation with a couple of integration schemes
Anjan Biswas,Anjan Biswas,Anjan Biswas,Yakup Yıldırım,Emrullah Yaşar,Mohammad F. Mahmood,Ali Saleh Alshomrani,Qin Zhou,Seithuti P. Moshokoa,Milivoj R. Belic +9 more
TL;DR: In this article, the authors obtained optical soliton solutions to the perturbed Radhakrishnan-Kundu-Lakshmanan equation by trial equation method and modified simple equation algorithm.
Journal ArticleDOI
Optical soliton perturbation with Fokas-Lenells equation using three exotic and efficient integration schemes
Anjan Biswas,Anjan Biswas,Anjan Biswas,Hadi Rezazadeh,Mohammad Mirzazadeh,Mostafa Eslami,Mehmet Ekici,Qin Zhou,Seithuti P. Moshokoa,Milivoj R. Belic +9 more
TL;DR: In this paper, the soliton dynamics in optical fibers with Fokas-Lenells equation is illustrated and the existence criteria of these solitons are also presented, along with few forms of combo-soliton solutions that naturally emerged from the three integration schemes applied to the model.