Modulational instability and peak solitary wave in a discrete nonlinear electrical transmission line described by the modified extended nonlinear Schrödinger equation

Deffo, Guy Roger; Yamgoué, Serge Bruno; Pelap, F. B.

doi:10.1140/epjb/e2018-90217-3

Cited by 22 publications

(6 citation statements)

References 36 publications

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“…( 7) is a bright soliton. Since the dispersion coefficient P does not depend on η, we only draw the nonlinear coefficient Q and the product PQ with the parameters [16] α = 0.21 V −1 , β = 0.0197 V −2 , L s = 470 µH, L p = 220 µH, C 0s = 96 pF, C 0p = 320 pF and for various values of parameter η picked in the literature, [28,29] namely, 0.16 V −1 , 0.21 V −1 , and 0.25 V −1 .…”

Section: Effects Of the Nonlinear Quadratic Dispersionmentioning

confidence: 99%

“…[14] Several other variants of Noguchi nonlinear electrical transmission lines have also been proposed in the literature. [15,16] The models studied above have led to very interesting and encouraging results. However, these models largely consider a linear dispersion in NLTLs, which limits the applicability of the established results to only a few physical phenomena.…”

Section: Introductionmentioning

confidence: 97%

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Dynamics of the plane and solitary waves in a Noguchi network: Effects of the nonlinear quadratic dispersion

et al. 2020

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We consider a modified Noguchi network and study the impact of the nonlinear quadratic dispersion on the dynamics of modulated waves. In the semi-discrete limit, we show that the dynamics of these waves are governed by a nonlinear cubic Schrödinger equation. From the graphical analysis of the coefficients of this equation, it appears that the nonlinear quadratic dispersion counterbalances the effects of the linear dispersion in the frequency domain. Moreover, we establish that this nonlinear quadratic dispersion provokes the disappearance of some regions of modulational instability in the dispersion curve compared to the results earlier obtained by Pelap et al. (Phys. Rev. E 91 022925 (2015)). We also find that the nonlinear quadratic dispersion limit considerably affects the nature, stability, and characteristics of the waves which propagate through the system. Furthermore, the results of the numerical simulations performed on the exact equations describing the network are found to be in good agreement with the analytical predictions.

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Section: Effects Of the Nonlinear Quadratic Dispersionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Dynamics of the plane and solitary waves in a Noguchi network: Effects of the nonlinear quadratic dispersion

et al. 2020

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“…In the particular case of NLTLs, several models including RH and LH NLTLs have been proposed [38][39][40][41][42][43][44][45][46][47][48]. Well-known as the standard NLTL, a unit cell of the RH form consists of an inductor L in the series branch with a capacitor in the shunt branch (figure 1(a)) while the LH form seems to be the opposite of the RH form where the inductor is replaced by a capacitor and vice-versa (figure 1(b)).…”

Section: Introductionmentioning

confidence: 99%

Hybrid behavior of a two-dimensional Noguchi nonlinear electrical network

2021

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In this work, the propagation of modulated waves in a nonlinear two-dimensional discrete electrical line is studied. Based on the linear dispersive law, we demonstrate that the network can adopt Hybrid’s behavior due to the fact that, without changing its appearance structure or its parameters values, it can become alternatively, a purely right-handed line, a purely left-handed line or a composite right-left-handed line depending on coupling transverse parameters L 2 , C 2 and k 2 . Using the reductive perturbation method, a (2+1)-dimensional nonlinear Schrodinger equation governing the dynamics of the small amplitude signals in the network is derived and the impact of the above transverse parameters on the sign of the product of their coefficients is examined. Likewise, backward and forward solitary wave propagations in the system is predicted and analyzed quantitatively and qualitatively. The effects of relevant transverse network parameters on the characteristic parameters of these waves are investigated. We find out that these transverse parameters considerably affect the characteristics and the nature of the waves that are propagated throughout the system.

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“…Ostrovskii predicted the possibility of MI in optics [27] and later, Hasegawa et al, in the context of optical fibers [28]. Recently, MI has been shown in electrical transmission lines [29]. Instability can occur in both spatial and temporal domains [30,31].…”

Section: Introductionmentioning

confidence: 99%

Modulational instability in a one-dimensional spin–orbit coupled Bose–Bose mixture

Singh

Parit

Raju

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

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Modulational instability and peak solitary wave in a discrete nonlinear electrical transmission line described by the modified extended nonlinear Schrödinger equation

Cited by 22 publications

References 36 publications

Dynamics of the plane and solitary waves in a Noguchi network: Effects of the nonlinear quadratic dispersion

Dynamics of the plane and solitary waves in a Noguchi network: Effects of the nonlinear quadratic dispersion

Hybrid behavior of a two-dimensional Noguchi nonlinear electrical network

Modulational instability in a one-dimensional spin–orbit coupled Bose–Bose mixture

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