New super waveforms for modified Korteweg-de-Veries-equation

Abdelwahed, H. G.; El-Shewy, Ε. K.; Abdelrahman, Mahmoud A. E.; Sabry, R.

doi:10.1016/j.rinp.2020.103420

Cited by 10 publications

(3 citation statements)

References 54 publications

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“…see for example [28][29][30][31][32][33][34][35][36]. As a result of the importance of the deterministic Eq.…”

Section: Introductionmentioning

confidence: 99%

The new stochastic solutions to the perturbed NLSE

Abdelwahed,

abdelrahman

2024

Preprint

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This article extracts exact solutions for the perturbed nonlinear Schrödinger’s equation (PNLSE) with Kerr law nonlinearity forced by multiplicative noise in It^o sense by utilizing the unified solver method. The presented solutions involve three types: rational function, trigonometric function and hyperbolic function solutions. These stochastic solutions may be applicable for investigation various complex phenomena in applied science and new physics. We exhibit the influence of multiplicative noise on the solution of the PNLSE forced by multiplicative noise in It^o sense. The study and acquired solutions clarify that the unified solver technique is sturdy and efficient. Finally, some 3D proles to some of the gained solutions are also illustrated.

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“…see for example [28][29][30][31][32][33][34][35][36]. As a result of the importance of the deterministic Eq.…”

Section: Introductionmentioning

confidence: 99%

The new stochastic solutions to the perturbed NLSE

Abdelwahed,

abdelrahman

2024

Preprint

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“…[11][12][13][14] These phenomena admit various applications in different fields of natural sciences, like nonlinear optics, superfluid, applications in high-energy physics, solid state physics, biology, nuclear physics, engineering, and so on. [15][16][17][18][19][20] The critical behavior in plasma wave propagation has been investigated for different fluid parameters. 17 Many authors studied physical problems that described by deterministic and stochastic nonlinear equations.…”

Section: Introductionmentioning

confidence: 99%

The noise sense effects on the characteristic nonlinearly Schrödinger equation solitary propagations

Abdelwahed

El-Shewy

Abdelrahman

et al. 2022

Journal of Low Frequency Noise, Vibration and Active Control

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The nonlinearly stochastic Schrödinger equation (NLSSE) predicts the nonlinear process that produces the waves decay in many physics applications. The unified method has been used in obtaining different new stochastic forms for NLSSE damped by noises in Itô sense. The derived structures appear in the form of rational, solitons, soliton-like shocks, and explosive propagations. The new stochastic solutions investigated the change of frequencies by noise term in NLSSE in nonlinear process that may be produced in many nonlinear wave applications. Finally, wave picture properties may controlled by noise term in Itô sense effect, which gives new information’s for NLSSE in physics applications which is believed to be affected by the influence of Brownian motion that change the shape and structures of the generated decaying and damping waves.

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“…The dark (bright) soliton propagation in optical fibers is related to the net balance between the selfphase modulation and group velocity dispersive effects [47]. This work is concerned with constructing various types of solutions, such as periodic, dark solitons; bright solitons and combined dark-bright solutions for the HM system (1.1), using the unified solver technique [48,49]. Namely, we introduce some new solutions with free physical parameters.…”

Section: Introductionmentioning

confidence: 99%

Investigation of new waves in chemical engineering

2021

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Modelling of wave motion and propagation characteristics of waves is of great significant in chemical engineering. Waves are the major source of chemical actions in various real life applications. We apply an efficacious solver to give exact traveling wave solutions of the Hirota-maccari model. This solver introduces closed-form wave structures of the solutions. The traveling wave solutions are expressed by hyperbolic function solutions. These solutions may be applicable for some real life problems in chemical engineering, biological engineering, plasma physics and etc. Some two and three dimensional graphics are plotted for certain parameter values to describe the propagation of traveling wave solutions. Finally, it is pondered that the proposed approach can also be applied to another sort of complex models.

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New super waveforms for modified Korteweg-de-Veries-equation

Cited by 10 publications

References 54 publications

The new stochastic solutions to the perturbed NLSE

The new stochastic solutions to the perturbed NLSE

The noise sense effects on the characteristic nonlinearly Schrödinger equation solitary propagations

Investigation of new waves in chemical engineering

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