Optical bullets and domain walls with cross-spatio dispersion having parabolic law of nonlinear refractive index

Elsherbeny, Ahmed M.; Mirzazadeh, Mohammad; Arnous, Ahmed H.; Biswas, Anjan; Yıldırım, Yakup; Asiri, Asim

doi:10.1007/s12596-023-01398-1

Cited by 4 publications

(1 citation statement)

References 28 publications

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“…This makes the newly structured concatenation model true to its name [1][2][3][4][5]. This dispersive concatenation model has been extensively studied with various characteristic features, namely, the retrieval of optical soliton solutions with the usage of the method of undetermined coefficients as well as additional integration tools and also addressing the model in the absence of selfphase modulation (SPM) [31][32][33][34][35][36][37]. Later, the model was also studied with nonlinear form of chromatic dispersion (CD) and quiescent optical solitons were recovered in this context [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Optical solitons for dispersive concatenation model with power-law of self-phase modulation: a sub-ODE approach

Zayed,

Gepreel,

El-Horbaty

et al. 2024

J Opt

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This work retrieves a plethora of optical soliton solutions to the dispersive concatenation model with power-law of self-phase modulation. The implementation of the sub-ODE method and its variations and versions yielded such soliton solutions. The intermediary functions were Weierstrass’ elliptic functions as well as Jacobi’s elliptic functions. Their special cases gave way to soliton solutions. In particular, for Jacobi’s elliptic functions, when the modulus of ellipticity approached unity, the soliton solutions have naturally emerged.

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Section: Introductionmentioning

confidence: 99%

Optical solitons for dispersive concatenation model with power-law of self-phase modulation: a sub-ODE approach

Zayed,

Gepreel,

El-Horbaty

et al. 2024

J Opt

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Optical soliton solutions in a distinctive class of nonlinear Schrödinger’s equation with cubic, quintic, septic, and nonic nonlinearities

Hussain,

Iqbal,

Bayram

et al. 2024

Opt Quant Electron

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The Biswas–Mollivic equation is a special type of nonlinear Schrödinger equation, which explains the spatio-temporal behaviour of excitable media. In this paper, we investigate the optical soliton solutions of the Biswas–Mollivic equation with cubic–quintic–septic–nonic nonlinearities using the generalized Riccati equation mapping method. This method is efficient and provides new perspectives. It also provides novel insights into the dynamics of excitable media. Our findings add to a better understanding of the complex spatio-temporal patterns that develop in excitable media and have potential applications in the design of new technologies for controlling and manipulating pattern formation. To depict optical soliton solutions graphically, we use the MATLAB software.

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Investigating the generalized Kudryashov’s equation in magneto-optic waveguide through the use of a couple integration techniques

Zayed,

Al-Nowehy,

Arnous

et al. 2024

J Opt

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Optical bullets and domain walls with cross-spatio dispersion having parabolic law of nonlinear refractive index

Cited by 4 publications

References 28 publications

Optical solitons for dispersive concatenation model with power-law of self-phase modulation: a sub-ODE approach

Optical solitons for dispersive concatenation model with power-law of self-phase modulation: a sub-ODE approach

Optical soliton solutions in a distinctive class of nonlinear Schrödinger’s equation with cubic, quintic, septic, and nonic nonlinearities

Investigating the generalized Kudryashov’s equation in magneto-optic waveguide through the use of a couple integration techniques

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