Optical multi-wave, M-shaped rational solution, homoclinic breather, periodic cross-kink and various rational solutions with interactions for Radhakrishnan–Kundu–Lakshmanan dynamical model

Batool, Tahira; Seadawy, Aly R.; Rizvi, Syed T. R.; Naqvi, S. Kamran

doi:10.1142/s0218863523500157

Cited by 11 publications

(3 citation statements)

References 33 publications

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“…By substituting equations (11), with (6), ( 7) and (10) into (5), we obtain a polynomial in the form of x ( ) R i , 0 3 i   . By setting each coefficient of this polynomial to zero, the following system of algebraic equations is produced:…”

Section: The New Kudryashov Methods and Its Applicationmentioning

confidence: 99%

“…By combining equations (11) with (3) and (9), we reach the stochastic optical soliton solution of equation (1). where δ is given in equation (13).…”

Section: The New Kudryashov Methods and Its Applicationmentioning

confidence: 99%

“…[10] includes the dispersive optical solitons of the RKL equation with dualpower law nonlinearity. Diverse structures of solutions such as M-shaped rational solutions with one and two kinks, multi-waves, periodic cross-kink, kink-cross, and homoclinic breather rational solutions were acquired for RKL equation [11].…”

Section: Introductionmentioning

confidence: 99%

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Optical soliton solutions of the stochastic perturbed Radhakrishnan-Kundu-Lakshmanan equation via Itô Calculus

Bayram

2023

Phys. Scr.

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This study presents, for the first time, optical solitons of the stochastic perturbed Radhakrishnan-Kundu-Lakshmanan equation with chromatic and spatio-temporal dispersion terms having Kerr law foırm of self-phase modulation. The stochastic form involves multiplicative white noise in the Ito sense, besides; the Kudryashov and new Kudryashov methods are picked to analyze stochastic optical soliton solutions. This analysis of the stochastic soliton solutions of the Radhakrishnan-Kundu-Lakshmanan equation and the impact of noise on these solitonsis the primary motivation for choosing both of these techniques rather than obtaining many solitons. Therefore, the first goal is to obtain the most basic soliton types, bright and dark solitons, and the second goal is to observe the white noise effect on these solitons. By applying the proposed methods, bright and dark solitons are obtained, and the noise effect on these solitons is illustrated using both 3D and 2D graphic presentations, along with necessarycomments. The presentation of the examined model for the first time in this article reflects its originality in terms of contributing both the study and the obtained results to the literature.

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Section: The New Kudryashov Methods and Its Applicationmentioning

confidence: 99%

“…By combining equations (11) with (3) and (9), we reach the stochastic optical soliton solution of equation (1). where δ is given in equation (13).…”

Section: The New Kudryashov Methods and Its Applicationmentioning

confidence: 99%