On solving the (3+1)-dimensional NLEQZK equation and the (3+1)-dimensional NLmZK equation using the extended simplest equation method

Zayed, Elsayed M.E.; Shohib, Reham M.A.; Al-Nowehy, Abdul-Ghani

doi:10.1016/j.camwa.2019.05.007

Cited by 37 publications

(5 citation statements)

References 32 publications

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“…The first type of waveform to be studied is the bright soliton, whose waveform has typically a structure of the form [30][31][32][33][34][35],…”

Section: Bright Solitonsmentioning

confidence: 99%

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Optical solitons for the dispersive concatenation model with power law of self-phase modulation: undetermined coefficients

Vega-Guzmán,

Biswas,

Yıldırım

et al. 2024

J Opt

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This paper recovers 1-soliton solutions to the dispersive concatenation model that comes with power law of self-phase modulation. The method of undetermined coefficients has made this retrieval possible. The parameter constraints are listed for the existence of the solitons. While a full spectrum of solitons is enumerated and exhibited, it is proved that dark 1-solitons exist only for Kerr law of nonlinear refractive index change.

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“…The first type of waveform to be studied is the bright soliton, whose waveform has typically a structure of the form [30][31][32][33][34][35],…”

Section: Bright Solitonsmentioning

confidence: 99%

“…The speed was retrieved on (5). For dark soliton solution, as for bright soliton, solvability conditions ( 6)-( 9) along with (33) and resulting constraints from (34) must be satisfied in order for the soliton to evolve on time.…”

Section: Dark Solitonsmentioning

confidence: 99%

Optical solitons for the dispersive concatenation model with power law of self-phase modulation: undetermined coefficients

Vega-Guzmán,

Biswas,

Yıldırım

et al. 2024

J Opt

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“…The study of optical solitons with this model will now be extended to address optical dromions and that too with polarization-mode dispersion (PMD) [20][21][22][23][24][25][26][27][28][29]. To top it off, the model will include spatio-temporal dispersions (STD), along the orthogonal directions, in addition to the usual chromatic dispersion (CD) [30][31][32][33][34][35][36][37][38][39]. The refractive index change is taken in the form of parabolic law of nonlinearity [40][41][42][43][44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Optical dromions with polarization–mode dispersion having parabolic law of self–phase modulation with multiplicative white noise

Zayed,

Alurrfi,

El–Shater

et al. 2024

J Opt

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This article studies optical dromions with spatio–temporal dispersion having parabolic law of nonlinear refractive index change in presence of white noise. Two integration approaches reveal the dromion solutions. They are the extended auxiliary equation approach and the generalized projective Riccati equation scheme. A wide spectrum of dromion solution structures have been revealed from such algorithms. The parameter constraints are also enlisted for these dromions to exist.

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“…The Zakharov-Kuznetsov (ZK) equation from many scientific problems including fluid mechanics is investigated in recent years [13]. Here, we will utilize the subsidiary equation method to construct exact solutions for the non-linear (3+1)-dimensional ZK equation.…”

Section: Introductionmentioning

confidence: 99%

The new exact solitary solutions for the (3+1)-dimensional Zakharov-Kuznetsov equation using the Riccati equation

et al. 2020

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In this paper, a non-linear (3+1)-dimensional Zakharov-Kuznetsov equation is investigated by employing the subsidiary equation method, which arises in quantum magneto plasma. The periodic solutions, rational wave solutions, soliton solutions for the quantum Zakharov-Kuznetsov equation which play an important role in mathematical physics are obtained with the help of the Riccati equation expan?sion method. Meanwhile, the electrostatic potential can be accordingly obtained. Compared to the other methods, the exact solutions obtained will extend on earlier reports by using the Riccati equation.

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On solving the (3+1)-dimensional NLEQZK equation and the (3+1)-dimensional NLmZK equation using the extended simplest equation method

Cited by 37 publications

References 32 publications

Optical solitons for the dispersive concatenation model with power law of self-phase modulation: undetermined coefficients

Optical solitons for the dispersive concatenation model with power law of self-phase modulation: undetermined coefficients

Optical dromions with polarization–mode dispersion having parabolic law of self–phase modulation with multiplicative white noise

The new exact solitary solutions for the (3+1)-dimensional Zakharov-Kuznetsov equation using the Riccati equation

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