Optical solitons in saturable cubic-quintic nonlinear media with nonlinear dispersion

Das, Sudipta Sekhar; Dey, Kajal Krishna; Sekh, Golam Ali

doi:10.1016/j.ijleo.2021.167865

Cited by 7 publications

(7 citation statements)

References 23 publications

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“…It is shown in Ref. 38 that the effective potential of pulse width for the chosen values of the SCQNL parameters has a minimum and thus allows the system to support stable soliton propagation.…”

Section: Effects Of Saturable Nonlinearity On the Dissipative Solitonmentioning

confidence: 99%

“…Recently, we have investigated the properties of bright soliton in the presence of saturable cubic-quintic nonlinearity (SCQNL) and nonlinear dispersion without any perturbation. 38) The incorporation of perturbations makes the system non-conservative. Thus, we make use of the Rayleigh dissipative function and find that the SCQNL can enhance the effect of intra-pulse Raman scattering and stop the trend of exponential amplitude attenuation arising due to linear and nonlinear losses in a short window of propagation.…”

Section: Introductionmentioning

confidence: 99%

“…Here l = 1(2) and c m = S(G) for saturable cubic(quintic) nonlinearity. 38) Equation ( 1) is not an exactly solvable model. In view of this, we consider a variational approach for the dissipative system.…”

Section: Introductionmentioning

confidence: 99%

“…( 2) in the Taylor series and then evaluate them. 38) The reduced Lagrangian and Rayleigh dissipative functions (RDF) are now explicit functions of different pulse parameters and their derivatives. Using the Euler-Lagrange equation,…”

Section: Introductionmentioning

confidence: 99%

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Effects of dispersion and saturable nonlinearity on dissipative solitons

Das

Sekh

2023

Jpn. J. Appl. Phys.

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We study the properties of an intense pulse propagating in dissipative nonlinear systems considering nonlinear dispersion within the framework of variational approach. We model the system by the so-called saturable cubic-quintic nonlinear Schrodinger equation including perturbing terms like two photon absorption, intra-pulse Raman scattering and dissipative losses. Introducing Rayleigh's dissipative function we derive a set of couple differential equations for the various parameters of the pulse. It is clearly demonstrated how the interplay among dispersion, saturable nonlinearity and dissipative losses affects intense-short pulse propagation in optical media.

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Section: Effects Of Saturable Nonlinearity On the Dissipative Solitonmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of dispersion and saturable nonlinearity on dissipative solitons

Das

Sekh

2023

Jpn. J. Appl. Phys.

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“… -symmetric soliton models with Kerr nonlinearity in single [19][20][21][22][23][24][25][26][27] and coupled systems [28][29][30][31][32] have been studied extensively. Apart from Kerr nonlinear system, different kinds of nonlinear models such as nonlocal [33,34], variable coefficient [35], parabolic law [36], cubic-quintic [37,38], cubic-quartic [39], quintic-septimal [40,41] and cubic-quintic-septimal [42] nonlinear Schrodinger equations leading to different types of soliton solutions have been studied. Fractional soliton [43,44], symmetric and antisymmetric solitons [45] have been discussed in fractional NLS [46][47][48] with  -symmetric potential.…”

Section: Introductionmentioning

confidence: 99%

One-dimensional PT -symmetric eigenmodes in k-wave number Scarf II potential with defocusing nonlinearity

Thasneem¹,

Subha²

2023

Phys. Scr.

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The stationary states and dynamical evolution of one-dimensional eigenmodes in self-defocusing nonlinear Kerr medium under transverse parity-time (PT ) symmetric k-wave number Scarff-II potential have been analysed. We study the effect of the coefficient of the imaginary component of the PT-symmetric potential on the eigenvalue spectra of the ground and first excited states in linear and nonlinear models. Symmetric eigenmodes with real eigenvalues are obtained in the unbroken PT regime in both models. The linear stability analysis shows that the solutions are stable in the unbroken PT regime. The stable propagation of the solutions in linear and nonlinear media supported by PT-symmetric k-wave number Scarff-II potential is also investigated. The comparison of the solutions in the presence and the absence of nonlinearity reveals that in the self-defocusing Kerr medium nonlinearity suppresses the region of PT -symmetry. The influence of the width of the complex k-wave number Scarff-II potential and the depth of the real potential function on the PT-symmetry breaking have also been analysed.

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